My Publications
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2025
The algebra of supernatural matrices
Bar-On, T., Gilat, S., Matzri, E. & Vishne, U., 2025, (Accepted/In press) In: Journal of Algebra and its Applications. 2650155.Research output: Contribution to journal › Article › peer-review
Algebra: Groups, rings, and fields: Second edition
Rowen, L. H. & Vishne, U., 21 Feb 2025, CRC Press. 350 p.Research output: Book/Report › Book › peer-review
2024
Semiassociative algebras over a field
Blachar, G., Haile, D., Matzri, E., Rein, E. & Vishne, U., 1 Jul 2024, In: Journal of Algebra. 649, p. 35-84 50 p.Research output: Contribution to journal › Article › peer-review
Representability of relatively free affine algebras over a Noetherian ring
Kanel-Belov, A., Rowen, L. & Vishne, U., 1 Jul 2024, In: Journal of Algebra and its Applications. 23, 8, 2550154.Research output: Contribution to journal › Article › peer-review
2023
Abelianization of the Cartwright-Steger lattice
Blachar, G., Selaśben-David, O. & Vishn, U., 2023, In: Algebra and Discrete Mathematics. 34, 2, p. 176-186 11 p.Research output: Contribution to journal › Article › peer-review
Locally Finite Central Simple Algebras
Bar-On, T., Gilat, S., Matzri, E. & Vishne, U., Apr 2023, In: Algebras and Representation Theory. 26, 2, p. 553-607 55 p.Research output: Contribution to journal › Article › peer-review
Identities of the algebra O ⊗ O
Blachar, G., Rowen, L. H. & Vishne, U., 2023, Algebra and Coding Theory- Virtual Conference in Honor of Tariq Rizvi Noncommutative Rings and their Applications VII, 2021 and Virtual Conference on Quadratic Forms, Rings and Codes, 2021. Leroy, A. & Jain, S. K. (eds.). American Mathematical Society, p. 35-45 11 p. (Contemporary Mathematics; vol. 785).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Computational Aspects of Polynomial Identities: Volume: ll, Recent Variants of Specht's Conjecture, 2nd Edition (Chapman Hall/CRC Monographs and Research Notes in Mathematics)
Kanel-Belov, A., Rowen, L. H. & Vishne, U., 1 Dec 2023, (Accepted/In press) 2nd ed. Chapman and Hall/CRC.Research output: Book/Report › Book › peer-review
2021
Property Testing and Expansion in Cubical Complexes
Garber, D. & Vishne, U., Apr 2021, In: Discrete and Computational Geometry. 65, 3, p. 893-915 23 p.Research output: Contribution to journal › Article › peer-review
ℓ-Weak Identities and Central Polynomials for Matrices
Blachar, G., Matzri, E., Rowen, L. & Vishne, U., 2021, Springer INdAM Series. Springer-Verlag Italia s.r.l., p. 69-95 27 p. (Springer INdAM Series; vol. 44).Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
Noncommutative inclusion-exclusion, representations of left regular bands and the Tsetlin library
Blachar, G., Rowen, L. H. & Vishne, U., Feb 2021, In: International Journal of Algebra and Computation. 31, 1, p. 37-62 26 p.Research output: Contribution to journal › Article › peer-review
Four halves of the inverse property in loop extensions
Vishne, U., 2021, In: Quasigroups and Related Systems. 29, 2, p. 283-302 20 p.Research output: Contribution to journal › Article › peer-review
2020
THE GRASSMANN ALGEBRA OVER ARBITRARY RINGS AND MINUS SIGN IN ARBITRARY CHARACTERISTIC
Dor, G., Kanel-Belov, A. & Vishne, U., 2020, In: Transactions of the American Mathematical Society Series B. 7, p. 227-253 27 p.Research output: Contribution to journal › Article › peer-review
A Transformational Modified Markov Process for Chord-Based Algorithmic Composition
Amram, M., Fisher, E., Gul, S. & Vishne, U., 1 Jul 2020, In: Math. Comput. Appl.. 25, 3, p. 43 1 p.Research output: Contribution to journal › Article › peer-review
The index of small length sequences
Grynkiewicz, D. J. & Vishne, U., 1 Aug 2020, In: International Journal of Algebra and Computation. 30, 5, p. 977-1014 38 p.Research output: Contribution to journal › Article › peer-review
2019
The alternative Clifford algebra of a ternary quadratic form
Chapman, A. & Vishne, U., 3 Oct 2019, In: Communications in Algebra. 47, 10, p. 3987-3994 8 p.Research output: Contribution to journal › Article › peer-review
2018
Representability of affine algebras over an arbitrary field
Belov-Kanel, A., Rowen, L., Vishne, U. & Belov, A., 2018, In: arXiv preprint arXiv:1805.,. 4450Research output: Contribution to journal › Article › peer-review
Property testing and expansion in cubical complexes,
Garber, D. & Vishne, U., 2018, In: arXiv preprint arXiv:1809.,. 10588Research output: Contribution to journal › Article › peer-review
2017
Linkage of quadratic Pfister forms
Chapman, A., Gilat, S. & Vishne, U., 2 Dec 2017, In: Communications in Algebra. 45, 12, p. 5212-5226 15 p.Research output: Contribution to journal › Article › peer-review
Bimodule structure of central simple algebras
Matzri, E., Rowen, L. H., Saltman, D. & Vishne, U., 1 Feb 2017, In: Journal of Algebra. 471, p. 454-479 26 p.Research output: Contribution to journal › Article › peer-review
2016
Bolza quaternion order and asymptotics of systoles along congruence subgroups
Katz, K., Katz, M., Schein, M. M. & Vishne, U., 2016, In: Experimental Mathematics. 25, 4, p. 399-415 17 p.Research output: Contribution to journal › Article › peer-review
Unions of chains of primes
Greenfeld, B., Rowen, L. H. & Vishne, U., 1 Apr 2016, In: Journal of Pure and Applied Algebra. 220, 4, p. 1451-1461 11 p.Research output: Contribution to journal › Article › peer-review
Kummer spaces in symbol algebras of prime degree
Chapman, A., Grynkiewicz, D. J., Matzri, E., Rowen, L. H. & Vishne, U., 1 Oct 2016, In: Journal of Pure and Applied Algebra. 220, 10, p. 3363-3371 9 p.Research output: Contribution to journal › Article › peer-review
2015
Specht’s problem for associative affine algebras over commutative noetherian rings
Belov-Kanel, A., Rowen, L. & Vishne, U., 2015, In: Transactions of the American Mathematical Society. 367, 8, p. 5553-5596 44 p.Research output: Contribution to journal › Article › peer-review
The Grassmann algebra in arbitrary characteristic and generalized sign,
Dor, G., Kanel-Belov, A. & Vishne, U., 2015, In: arXiv preprint arXiv:1501.,. 2464Research output: Contribution to journal › Article › peer-review
2014
Composition algebras and cyclic p-algebras in characteristic 3
Matzri, E. & Vishne, U., Jan 2014, In: Manuscripta Mathematica. 143, 1-2, p. 1-18 18 p.Research output: Contribution to journal › Article › peer-review
Zariski Closed Algebras in Varieties of Universal Algebra
Belov-Kanel, A., Giambruno, A., Rowen, L. H. & Vishne, U., 2 Dec 2014, In: Algebras and Representation Theory. 17, 6, p. 1771-1783 13 p.Research output: Contribution to journal › Article › peer-review
2013
Square-central elements and standard generators for biquaternion algebras
Chapman, A. & Vishne, U., Oct 2013, In: Israel Journal of Mathematics. 197, 1, p. 409-423 15 p.Research output: Contribution to journal › Article › peer-review
PI-varieties associated to full quivers of representations of algebras
Belov-Kanel, A., Rowen, L. H. & Vishne, U., 2013, In: Transactions of the American Mathematical Society. 365, 5, p. 2681-2722 42 p.Research output: Contribution to journal › Article › peer-review
Confidence Interval for the Risk-Score Index
Hochberg, K. J., Sandach, A., Snyder, M. & Vishne, U., Dec 2013, In: Methodology and Computing in Applied Probability. 15, 4, p. 987-1002 16 p.Research output: Contribution to journal › Article › peer-review
Realizability and admissibility under extension of p-adic and number fields
Neftin, D. & Vishne, U., 2013, In: Documenta Mathematica. 18, 2013, p. 359-382 24 p.Research output: Contribution to journal › Article › peer-review
Stiefel-Whitney invariants for bilinear forms
First, U. A. & Vishne, U., 1 Oct 2013, In: Linear Algebra and Its Applications. 439, 7, p. 1905-1917 13 p.Research output: Contribution to journal › Article › peer-review
2012
Artin covers of the braid groups
Amram, M., Lawrence, R. & Vishne, U., Jun 2012, In: Journal of Knot Theory and its Ramifications. 21, 7, 1250061.Research output: Contribution to journal › Article › peer-review
Isotropic subspaces in symmetric composition algebras and Kummer subspaces in central simple algebras of degree 3
Matzri, E. & Vishne, U., Mar 2012, In: Manuscripta Mathematica. 137, 3, p. 497-523 27 p.Research output: Contribution to journal › Article › peer-review
Full quivers of representations of algebras
Belov-Kanel, A., Rowen, L. H. & Vishne, U., 2012, In: Transactions of the American Mathematical Society. 364, 10, p. 5525-5569 45 p.Research output: Contribution to journal › Article › peer-review
Non-cyclic algebras with n-central elements
Eliyah, M., Rowen, L. H. & Vishne, U., 2012, In: Proceedings of the American Mathematical Society. 140, 2, p. 513-518 6 p.Research output: Contribution to journal › Article › peer-review
Full exposition of Specht's problem
Belov, A., Rowen, L. & Vishne, U., 2012, In: Serdica Math. J.. 38, 1-3, p. 313-370 58 p.Research output: Contribution to journal › Article › peer-review
Clifford algebras of binary homogeneous forms
Chapman, A. & Vishne, U., 15 Sep 2012, In: Journal of Algebra. 366, p. 94-111 18 p.Research output: Contribution to journal › Article › peer-review
2011
Application of Full Quivers of Representations of Algebras, to Polynomial Identities
Belov-Kanel, A., Rowen, L. & Vishne, U., Dec 2011, In: Communications in Algebra. 39, 12, p. 4536-4551 16 p.Research output: Contribution to journal › Article › peer-review
Characters and solutions to equations in finite groups
Amit, A. & Vishne, U., Aug 2011, In: Journal of Algebra and its Applications. 10, 4, p. 675-686 12 p.Research output: Contribution to journal › Article › peer-review
Open problems on central simple algebras
Auel, A., Brussel, E., Garibaldi, S. & Vishne, U., Mar 2011, In: Transformation Groups. 16, 1, p. 219-264 46 p.Research output: Contribution to journal › Article › peer-review
Hurwitz quaternion order and arithmetic Riemann surfaces
Katz, M. G., Schaps, M. & Vishne, U., Dec 2011, In: Geometriae Dedicata. 155, 1, p. 151-161 11 p.Research output: Contribution to journal › Article › peer-review
Polynomial identities of M2,1(G)
Vishne, U., Jun 2011, In: Communications in Algebra. 39, 6, p. 2044-2050 7 p.Research output: Contribution to journal › Article › peer-review
2010
Structure of Zariski-closed algebras
Belov-Kanel, A., Rowen, L. & Vishne, U., Sep 2010, In: Transactions of the American Mathematical Society. 362, 9, p. 4695-4734 40 p.Research output: Contribution to journal › Article › peer-review
An azumaya algebra version of the kneser-tits problem for groups of type D4
Rowen, L. H., Saltman, D., Segev, Y. & Vishne, U., 2010, In: Communications in Algebra. 39, 1, p. 133-152 20 p.Research output: Contribution to journal › Article › peer-review
2009
Kneser-Tits problem for trialitarian groups and bounded generation by restricted elements
Gille, P. & Vishne, U., 2009, In: Oberwolfach Proceedings series. p. 1407-1410Research output: Contribution to journal › Article › peer-review
Admissibility under extension of number fields
Danny, N. & Vishne, U., 2009, In: Documenta Mathematica. 18, p. 359-382Research output: Contribution to journal › Article › peer-review
Pattern matching with address errors: Rearrangement distances
Amir, A., Aumann, Y., Benson, G., Levy, A., Lipsky, O., Porat, E., Skiena, S. & Vishne, U., Sep 2009, In: Journal of Computer and System Sciences. 75, 6, p. 359-370 12 p.Research output: Contribution to journal › Article › peer-review
2008
THE FUNDAMENTAL GROUP OF GALOIS COVER OF THE SURFACE ? × ?
MEIRAV, A., Teicher, M. & UZI, V., 2008, In: International Journal of Algebra and Computation. 18, 8, p. 1259-1282Research output: Contribution to journal › Article › peer-review
The fundamental group of galois cover of the surface double strok T sign × double strok T sign
Amram, M., Teicher, M. & Vishne, U., Dec 2008, In: International Journal of Algebra and Computation. 18, 8, p. 1259-1282 24 p.Research output: Contribution to journal › Article › peer-review
THE FUNDAMENTAL GROUP OF GALOIS COVER 5 OF THE SURFACE T × T
Amram, M., Teicher, M. & Vishne, U., 2008, In: International Journal Algebra and Computation. 18, 8, p. 1259-1282Research output: Contribution to journal › Article › peer-review
2007
The fundamental group of the galois cover of Hirzebruch surface F 1 (2, 2)
Amram, M., Teicher, M. & Vishne, U., May 2007, In: International Journal of Algebra and Computation. 17, 3, p. 507-525 19 p.Research output: Contribution to journal › Article › peer-review
Logarithmic growth of systole of arithmetic riemann surfaces along congruence subgroups
Katz, M. G., Schaps, M. & Vishne, U., 2007, In: Journal of Differential Geometry. 76, 3, p. 399-422 24 p.Research output: Contribution to journal › Article › peer-review
2006
Pattern matching with address errors: Rearrangement distances
Amir, A., Aumann, Y., Benson, G., Levy, A., Lipsky, O., Porat, E., Skiena, S. & Vishne, U., 2006, p. 1221-1229. 9 p.Research output: Contribution to conference › Paper › peer-review
The Coxeter Quotient of the Fundamental Group of a Galois Cover of T × T
Amram, M., Teicher, M. & Vishne, U., 2006, In: Communications in Algebr. 34, 1, p. 89-106Research output: Contribution to journal › Article › peer-review
Pattern matching with address errors: rearrangement distances
Amihood, A., Aumann, Y., Benson, G., Levy, A., Lipsky, O., Porat, E., Skiena, S. & Vishne, U., 2006, seventeenth annual ACM-SIAM symposium on Discrete algorithm. Society for Industrial and Applied MathematicsResearch output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Division Algebras and Non-Commensurable Isospectral Manifolds
Lubotzky, A., Samuels, B. & Vishne, U., 2006, In: Duke Mathematical Journal. 135, 2, p. 361-379Research output: Contribution to journal › Article › peer-review
Isospectral Cayley graphs of some finite simple groups
Lubotzky, A., Samuels, B. & Vishne, U., 1 Nov 2006, In: Duke Mathematical Journal. 135, 2, p. 381-394 14 p.Research output: Contribution to journal › Article › peer-review
Length-based conjugacy search in the Braid group
Garber, D., Kaplan, S., Teicher, M., Tsaban, B. & Vishne, U., 2006, In: Contemporary Mathematics. 418, p. 75-87Research output: Contribution to journal › Article › peer-review
The Coxeter quotient of the fundamental group of a galois cover of ×
Amram, M., Teicher, M. & Vishne, U., Jan 2006, In: Communications in Algebra. 34, 1, p. 89-106 18 p.Research output: Contribution to journal › Article › peer-review
Pattern Matching with Address Errors: Rearrangement Distances
Amihood, A., Aumann, Y., Benson, G., Levi, A., LLipsky, O., Porat, E., Skiena, S. & Vishne, U., 2006, 27th Annual ACM-SIAM Symposium of Discrete Algorithms (SODA).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review
Normal bases of PI-algebras
Kanel-Belov, A., Rowen, L. H. & Vishne, U., Sep 2006, In: Advances in Applied Mathematics. 37, 3, p. 378-389 12 p.Research output: Contribution to journal › Article › peer-review
Pattern Matching with Address Errors: Rearrangement Distances
Amihood, A., Aumann, Y., Benson, G., Levy, A., Lipsky, O., Porat, E., Skiena, S. & Vishne, U., 2006, In: Journal of Computer and Systems Sciences International. 75, 6, p. 359-370Research output: Contribution to journal › Article › peer-review
Division algebras and noncommensurable isospectral manifolds
Lubotzky, A., Samuels, B. & Vishne, U., 1 Nov 2006, In: Duke Mathematical Journal. 135, 2, p. 361-380 20 p.Research output: Contribution to journal › Article › peer-review
An affine prime non-semiprimitive monomial algebra with quadratic growth
Smoktunowicz, A. & Vishne, U., Oct 2006, In: Advances in Applied Mathematics. 37, 4, p. 511-513 3 p.Research output: Contribution to journal › Article › peer-review
2005
Ramanujan complexes of type Ãd*
Lubotzky, A., Samuels, B. & Vishne, U., 2005, In: Israel Journal of Mathematics. 149, p. 267-299 33 p.Research output: Contribution to journal › Article › peer-review
Explicit constructions of Ramanujan complexes of type Ãd
Lubotzky, A., Samuels, B. & Vishne, U., Jul 2005, In: European Journal of Combinatorics. 26, 6 SPEC. ISS., p. 965-993 29 p.Research output: Contribution to journal › Article › peer-review
Coxeter covers of the symmetric groups
Rowen, L., Teicher, M. & Vishne, U., Mar 2005, In: Journal of Group Theory. 8, 2, p. 139-169 31 p.Research output: Contribution to journal › Article › peer-review
Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups
Katz, M. G., Schaps, M. & Vishne, U., 2005, In: Journal of Differential Geometry. 76, 3, p. 399-422Research output: Contribution to journal › Article › peer-review
Probabilistic solutions of equations in the braid group
Garber, D., Kaplan, S., Teicher, M., Tsaban, B. & Vishne, U., Sep 2005, In: Advances in Applied Mathematics. 35, 3, p. 323-334 12 p.Research output: Contribution to journal › Article › peer-review
Triviality of the functor Coker(K1(F) → K1(D)) for division algebras
Hazrat, R. & Vishne, U., 2005, In: Communications in Algebra. 33, 5, p. 1427-1435 9 p.Research output: Contribution to journal › Article › peer-review
Explicit constructions of Ramanujan complexes
Lubotzky, A., Samuels, B. & Vishne, U., 2005, In: European Journal of Combinatorics. 26, 6, p. 965-993Research output: Contribution to journal › Article › peer-review
2004
Galois cohomology of fields without roots of unity
Vishne, U., 15 Sep 2004, In: Journal of Algebra. 279, 2, p. 451-492 42 p.Research output: Contribution to journal › Article › peer-review
2003
π 1 -classification of real arrangements with up to eight lines
Garber, D., Teicher, M. & Vishne, U., Jan 2003, In: Topology. 42, 1, p. 265-289 25 p.Research output: Contribution to journal › Article › peer-review
Dihedral crossed products of exponent 2 are abelian
Vishne, U., 1 Feb 2003, In: Archiv der Mathematik. 80, 2, p. 119-122 4 p.Research output: Contribution to journal › Article › peer-review
2002
The Fundamental Group of a Galois cover of CP1 × T
Amram, M., Goldberg, D., Teicher, M. & Vishne, U., 2002, In: Algebraic and Geometric Topology. 2, p. 403-432Research output: Contribution to journal › Article › peer-review
Polynomial identities of M2(G)
Vishne, U., Jan 2002, In: Communications in Algebra. 30, 1, p. 443-454 12 p.Research output: Contribution to journal › Article › peer-review
Generators of central simple p-algebras of degree 3
Vishne, U., 2002, In: Israel Journal of Mathematics. 129, p. 175-187 13 p.Research output: Contribution to journal › Article › peer-review
Polynomial Identities of 2x2 matrices over the Grassmannian
Vishne, U., 2002, In: Communications in Algebra. 30, 1, p. 443-454Research output: Contribution to journal › Article › peer-review
Efficient linear feedback shift registers with maximal period
Tsaban, B. & Vishne, U., 2002, In: Finite Fields and Their Applications. 8, 2, p. 256-267 12 p.Research output: Contribution to journal › Article › peer-review
CLASSES OF WIRING DIAGRAMS AND THEIR INVARIANTS
DAVID, G., Teicher, M. & UZI, V., 2002, In: Journal of Knot Theory and its Ramifications. 11, 8, p. 1165-1191Research output: Contribution to journal › Article › peer-review
Classes of wiring diagrams and their invariants
Garber, D., Teicher, M. & Vishne, U., Dec 2002, In: Journal of Knot Theory and its Ramifications. 11, 8, p. 1165-1191 27 p.Research output: Contribution to journal › Article › peer-review
The fundamental group of a Galois cover of CP1×T
Amram, M., Goldberg, D., Teicher, M. & Vishne, U., 2002, In: Algebraic & Geometric Topology. 2, 20, p. 403-432Research output: Contribution to journal › Article › peer-review
1999
Primitive algebras with arbitrary Gelfand-Kirillov dimension
Vishne, U., 1 Jan 1999, In: Journal of Algebra. 211, 1, p. 150-158 9 p.Research output: Contribution to journal › Article › peer-review
1998
Mixing and Covering in the Symmetric Groups
Vishne, U., 1 Jul 1998, In: Journal of Algebra. 205, 1, p. 119-140 22 p.Research output: Contribution to journal › Article › peer-review
1997
Factorization of trinomials over galois fields of characteristic 2
Vishne, U., Oct 1997, In: Finite Fields and Their Applications. 3, 4, p. 370-377 8 p.Research output: Contribution to journal › Article › peer-review