My Publications
<p>This page automatically displays all your publications or research outputs that we pulled automatically from CRIS. You can change the Format inside the "website settings" (research outputs tab) The introductory text (optional) provides an additional opportunity to briefly describe the research institute, lab, or researcher's activities.</p>
Top Publication
Amir, G., Blachar, G., Ghosh, S., & Vishne, U. (2025). Mixability of Finite Groups. Random Structures and Algorithms, 67(4), Article e70037. https://doi.org/10.1002/rsa.70037
Kanel-Belov, A., Rowen, L., & Vishne, U. (2024). Representability of relatively free affine algebras over a Noetherian ring. Journal of Algebra and its Applications, 23(8), Article 2550154. https://doi.org/10.1142/s0219498825501543
Blachar, G., Selaśben-David, O., & Vishn, U. (2023). Abelianization of the Cartwright-Steger lattice. Algebra and Discrete Mathematics, 34(2), 176-186. https://doi.org/10.12958/adm1966
Belov-Kanel, A., Rowen, L., Vishne, U., & Belov, A. (2018). Representability of affine algebras over an arbitrary field. arXiv preprint arXiv:1805., 4450.
Neftin, D., & Vishne, U. (2013). Realizability and admissibility under extension of p-adic and number fields. Documenta Mathematica, 18(2013), 359-382. https://doi.org/10.4171/dm/401
Lubotzky, A., Samuels, B., & Vishne, U. (2006). Division algebras and noncommensurable isospectral manifolds. Duke Mathematical Journal, 135(2), 361-380. https://doi.org/10.1215/s0012-7094-06-13525-1
Lubotzky, A., Samuels, B., & Vishne, U. (2006). Division Algebras and Non-Commensurable Isospectral Manifolds. Duke Mathematical Journal, 135(2), 361-379.
All Publications
2026
Amram, M., Gong, C., Roy, P. K., Sinichkin, U., & Vishne, U. (2026). THE FUNDAMENTAL GROUP OF GALOIS COVERS OF SURFACES WITH OCTAHEDRAL ENVELOPE. Homology, Homotopy and Applications, 28(1), 23-44. https://doi.org/10.4310/HHA.2026.v28.n1.a2
2025
Bar-On, T., Gilat, S., Matzri, E., & Vishne, U. (Accepted/In press). The algebra of supernatural matrices. Journal of Algebra and its Applications, Article 2650155. https://doi.org/10.1142/s0219498826501550
Amir, G., Blachar, G., Ghosh, S., & Vishne, U. (2025). Mixability of Finite Groups. Random Structures and Algorithms, 67(4), Article e70037. https://doi.org/10.1002/rsa.70037
Rowen, L. H., & Vishne, U. (2025). Algebra: Groups, rings, and fields: Second edition. CRC Press. https://doi.org/10.1201/9780429278655
2024
Mann, A., Rowen, L. H., Saltman, D. J., Shalev, A., Small, L. W., & Vishne, U. (Eds.) (2024). Amitsur Centennial Symposium: Amitsur Centennial Symposium, November 1-4, 2021, virtual and the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel. (Israel Mathematical Conference proceedings; Vol. 800). American Mathematical Society; Bar-Ilan University.
Blachar, G., Haile, D., Matzri, E., Rein, E., & Vishne, U. (2024). Semiassociative algebras over a field. Journal of Algebra, 649, 35-84. https://doi.org/10.1016/j.jalgebra.2024.03.006
Kanel-Belov, A., Rowen, L., & Vishne, U. (2024). Representability of relatively free affine algebras over a Noetherian ring. Journal of Algebra and its Applications, 23(8), Article 2550154. https://doi.org/10.1142/s0219498825501543
2023
Blachar, G., Selaśben-David, O., & Vishn, U. (2023). Abelianization of the Cartwright-Steger lattice. Algebra and Discrete Mathematics, 34(2), 176-186. https://doi.org/10.12958/adm1966
Mann, A., Rowen, L. H. (Ed.), Saltman, D. J., Shalev, A., Small, L. W., Vishne, U. (Ed.), & Hebrew University of Jerusalem. Institute for Advanced Studies, S. B. (2023). Amitsur Centennial Symposium : Amitsur Centennial Symposium, November 1-4, 2021, virtual and the Israel Institute for Advanced Studies (IIAS), The Hebrew University of Jerusalem, Jerusalem, Israel. In Amitsur Centennial Symposium : Amitsur Centennial Symposium American Mathematical Society.
Kanel-Belov, A., Rowen, L. H., & Vishne, U. (Accepted/In press). Computational Aspects of Polynomial Identities: Volume: ll, Recent Variants of Specht's Conjecture, 2nd Edition (Chapman Hall/CRC Monographs and Research Notes in Mathematics). (2nd ed.) Chapman and Hall/CRC. https://www.amazon.co.uk/Computational-Aspects-Polynomial-Identities-Mathematics/dp/1498720064
Blachar, G., Rowen, L. H., & Vishne, U. (2023). Identities of the algebra O ⊗ O. In A. Leroy, & S. K. Jain (Eds.), 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 (pp. 35-45). (Contemporary Mathematics; Vol. 785). American Mathematical Society. https://doi.org/10.1090/conm/785/15773
Bar-On, T., Gilat, S., Matzri, E., & Vishne, U. (2023). Locally Finite Central Simple Algebras. Algebras and Representation Theory, 26(2), 553-607. https://doi.org/10.1007/s10468-021-10103-4
2021
Garber, D., & Vishne, U. (2021). Property Testing and Expansion in Cubical Complexes. Discrete and Computational Geometry, 65(3), 893-915. https://doi.org/10.1007/s00454-019-00160-4
Vishne, U. (2021). Four halves of the inverse property in loop extensions. Quasigroups and Related Systems, 29(2), 283-302.
Blachar, G., Matzri, E., Rowen, L., & Vishne, U. (2021). ℓ-Weak Identities and Central Polynomials for Matrices. In Springer INdAM Series (pp. 69-95). (Springer INdAM Series; Vol. 44). Springer-Verlag Italia s.r.l.. https://doi.org/10.1007/978-3-030-63111-6_5
Blachar, G., Rowen, L. H., & Vishne, U. (2021). Noncommutative inclusion-exclusion, representations of left regular bands and the Tsetlin library. International Journal of Algebra and Computation, 31(1), 37-62. https://doi.org/10.1142/s021819672150003x
2020
Grynkiewicz, D. J., & Vishne, U. (2020). The index of small length sequences. International Journal of Algebra and Computation, 30(5), 977-1014. https://doi.org/10.1142/s0218196720500277
Amram, M., Fisher, E., Gul, S., & Vishne, U. (2020). A Transformational Modified Markov Process for Chord-Based Algorithmic Composition. Mathematical and Computational Applications, 25(3), 43. https://doi.org/10.3390/mca25030043
Dor, G., Kanel-Belov, A., & Vishne, U. (2020). THE GRASSMANN ALGEBRA OVER ARBITRARY RINGS AND MINUS SIGN IN ARBITRARY CHARACTERISTIC. Transactions of the American Mathematical Society Series B, 7, 227-253. https://doi.org/10.1090/btran/49
2019
Chapman, A., & Vishne, U. (2019). The alternative Clifford algebra of a ternary quadratic form. Communications in Algebra, 47(10), 3987-3994. https://doi.org/10.1080/00927872.2019.1572178
2018
Belov-Kanel, A., Rowen, L., Vishne, U., & Belov, A. (2018). Representability of affine algebras over an arbitrary field. arXiv preprint arXiv:1805., 4450.
Garber, D., & Vishne, U. (2018). Property testing and expansion in cubical complexes, arXiv preprint arXiv:1809., 10588.
2017
Chapman, A., Gilat, S., & Vishne, U. (2017). Linkage of quadratic Pfister forms. Communications in Algebra, 45(12), 5212-5226. https://doi.org/10.1080/00927872.2017.1298776
Matzri, E., Rowen, L. H., Saltman, D., & Vishne, U. (2017). Bimodule structure of central simple algebras. Journal of Algebra, 471, 454-479. https://doi.org/10.1016/j.jalgebra.2016.07.039
2016
Katz, K., Katz, M., Schein, M. M., & Vishne, U. (2016). Bolza quaternion order and asymptotics of systoles along congruence subgroups. Experimental Mathematics, 25(4), 399-415. https://doi.org/10.1080/10586458.2015.1073642
Greenfeld, B., Rowen, L. H., & Vishne, U. (2016). Unions of chains of primes. Journal of Pure and Applied Algebra, 220(4), 1451-1461. https://doi.org/10.1016/j.jpaa.2015.09.011
Chapman, A., Grynkiewicz, D. J., Matzri, E., Rowen, L. H., & Vishne, U. (2016). Kummer spaces in symbol algebras of prime degree. Journal of Pure and Applied Algebra, 220(10), 3363-3371. https://doi.org/10.1016/j.jpaa.2016.04.003
2015
Belov-Kanel, A., Rowen, L., & Vishne, U. (2015). Specht’s problem for associative affine algebras over commutative noetherian rings. Transactions of the American Mathematical Society, 367(8), 5553-5596. https://doi.org/10.1090/tran/5983
2014
Matzri, E., & Vishne, U. (2014). Composition algebras and cyclic p-algebras in characteristic 3. Manuscripta Mathematica, 143(1-2), 1-18. https://doi.org/10.1007/s00229-013-0609-y
Belov-Kanel, A., Giambruno, A., Rowen, L. H., & Vishne, U. (2014). Zariski Closed Algebras in Varieties of Universal Algebra. Algebras and Representation Theory, 17(6), 1771-1783. https://doi.org/10.1007/s10468-014-9469-8
2013
Hochberg, K. J., Sandach, A., Snyder, M., & Vishne, U. (2013). Confidence Interval for the Risk-Score Index. Methodology and Computing in Applied Probability, 15(4), 987-1002. https://doi.org/10.1007/s11009-012-9294-7
Belov-Kanel, A., Rowen, L. H., & Vishne, U. (2013). PI-varieties associated to full quivers of representations of algebras. Transactions of the American Mathematical Society, 365(5), 2681-2722. https://doi.org/10.1090/S0002-9947-2012-05709-6
Neftin, D., & Vishne, U. (2013). Realizability and admissibility under extension of p-adic and number fields. Documenta Mathematica, 18(2013), 359-382. https://doi.org/10.4171/dm/401
Chapman, A., & Vishne, U. (2013). Square-central elements and standard generators for biquaternion algebras. Israel Journal of Mathematics, 197(1), 409-423. https://doi.org/10.1007/s11856-013-0005-z
First, U. A., & Vishne, U. (2013). Stiefel-Whitney invariants for bilinear forms. Linear Algebra and Its Applications, 439(7), 1905-1917. https://doi.org/10.1016/j.laa.2013.05.024
2012
Belov, A., Rowen, L., & Vishne, U. (2012). Full exposition of Specht's problem. Serdica Math. J., 38(1-3), 313-370.
Amram, M., Lawrence, R., & Vishne, U. (2012). Artin covers of the braid groups. Journal of Knot Theory and its Ramifications, 21(7), Article 1250061. https://doi.org/10.1142/S0218216512500617
Belov-Kanel, A., Rowen, L. H., & Vishne, U. (2012). Full quivers of representations of algebras. Transactions of the American Mathematical Society, 364(10), 5525-5569. https://doi.org/10.1090/S0002-9947-2012-05565-6
Matzri, E., & Vishne, U. (2012). Isotropic subspaces in symmetric composition algebras and Kummer subspaces in central simple algebras of degree 3. Manuscripta Mathematica, 137(3), 497-523. https://doi.org/10.1007/s00229-011-0482-5
Chapman, A., & Vishne, U. (2012). Clifford algebras of binary homogeneous forms. Journal of Algebra, 366, 94-111. https://doi.org/10.1016/j.jalgebra.2012.05.012
Eliyah, M., Rowen, L. H., & Vishne, U. (2012). Non-cyclic algebras with n-central elements. Proceedings of the American Mathematical Society, 140(2), 513-518. https://doi.org/10.1090/S0002-9939-2011-11236-X
2011
Auel, A., Brussel, E., Garibaldi, S., & Vishne, U. (2011). Open problems on central simple algebras. Transformation Groups, 16(1), 219-264. https://doi.org/10.1007/s00031-011-9119-8
Amit, A., & Vishne, U. (2011). Characters and solutions to equations in finite groups. Journal of Algebra and its Applications, 10(4), 675-686. https://doi.org/10.1142/S0219498811004690
Katz, M. G., Schaps, M., & Vishne, U. (2011). Hurwitz quaternion order and arithmetic Riemann surfaces. Geometriae Dedicata, 155(1), 151-161. https://doi.org/10.1007/s10711-011-9582-3
Vishne, U. (2011). Polynomial identities of M2,1(G). Communications in Algebra, 39(6), 2044-2050. https://doi.org/10.1080/00927871003667486
Belov-Kanel, A., Rowen, L., & Vishne, U. (2011). Application of Full Quivers of Representations of Algebras, to Polynomial Identities. Communications in Algebra, 39(12), 4536-4551. https://doi.org/10.1080/00927872.2011.616432
2010
Rowen, L. H., Saltman, D., Segev, Y., & Vishne, U. (2010). An azumaya algebra version of the kneser-tits problem for groups of type D4. Communications in Algebra, 39(1), 133-152. https://doi.org/10.1080/00927870903447221
Belov-Kanel, A., Rowen, L., & Vishne, U. (2010). Structure of Zariski-closed algebras. Transactions of the American Mathematical Society, 362(9), 4695-4734. https://doi.org/10.1090/S0002-9947-10-04993-7
2009
Amir, A., Aumann, Y., Benson, G., Levy, A., Lipsky, O., Porat, E., Skiena, S., & Vishne, U. (2009). Pattern matching with address errors: Rearrangement distances. Journal of Computer and System Sciences, 75(6), 359-370. https://doi.org/10.1016/j.jcss.2009.03.001
Gille, P., & Vishne, U. (2009). Kneser-Tits problem for trialitarian groups and bounded generation by restricted elements. Oberwolfach Proceedings series, 1407-1410.
Danny, N., & Vishne, U. (2009). Admissibility under extension of number fields. Documenta Mathematica, 18, 359-382.
2008
Amram, M., Teicher, M., & Vishne, U. (2008). THE FUNDAMENTAL GROUP OF GALOIS COVER 5 OF THE SURFACE T × T. International Journal Algebra and Computation, 18(8), 1259-1282.
MEIRAV, AMRAM., Teicher, M., & UZI, VISHNE. (2008). THE FUNDAMENTAL GROUP OF GALOIS COVER OF THE SURFACE ? × ? International Journal of Algebra and Computation, 18(8), 1259-1282.
Amram, M., Teicher, M., & Vishne, U. (2008). The fundamental group of galois cover of the surface double strok T sign × double strok T sign. International Journal of Algebra and Computation, 18(8), 1259-1282. https://doi.org/10.1142/S0218196708004895
2007
Katz, M. G., Schaps, M., & Vishne, U. (2007). Logarithmic growth of systole of arithmetic riemann surfaces along congruence subgroups. Journal of Differential Geometry, 76(3), 399-422. https://doi.org/10.4310/jdg/1180135693
Amram, M., Teicher, M., & Vishne, U. (2007). The fundamental group of the galois cover of Hirzebruch surface F 1 (2, 2). International Journal of Algebra and Computation, 17(3), 507-525. https://doi.org/10.1142/S0218196707003780
2006
Kanel-Belov, A., Rowen, L. H., & Vishne, U. (2006). Normal bases of PI-algebras. Advances in Applied Mathematics, 37(3), 378-389. https://doi.org/10.1016/j.aam.2005.08.006
Smoktunowicz, A., & Vishne, U. (2006). An affine prime non-semiprimitive monomial algebra with quadratic growth. Advances in Applied Mathematics, 37(4), 511-513. https://doi.org/10.1016/j.aam.2005.03.008
Amir, A., Aumann, Y., Benson, G., Levy, A., Lipsky, O., Porat, E., Skiena, S., & Vishne, U. (2006). Pattern matching with address errors: Rearrangement distances. 1221-1229. Paper presented at Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms, Miami, FL, United States. https://doi.org/10.1145/1109557.1109692
Lubotzky, A., Samuels, B., & Vishne, U. (2006). Division algebras and noncommensurable isospectral manifolds. Duke Mathematical Journal, 135(2), 361-380. https://doi.org/10.1215/s0012-7094-06-13525-1
Lubotzky, A., Samuels, B., & Vishne, U. (2006). Isospectral Cayley graphs of some finite simple groups. Duke Mathematical Journal, 135(2), 381-394. https://doi.org/10.1215/s0012-7094-06-13526-3
Amihood, A., Aumann, Y., Benson, G., Levy, A., Lipsky, O., Porat, E., Skiena, S., & Vishne, U. (2006). Pattern matching with address errors: rearrangement distances. In seventeenth annual ACM-SIAM symposium on Discrete algorithm Society for Industrial and Applied Mathematics.
Amihood, A., Aumann, Y., Benson, G., Levy, A., Lipsky, O., Porat, E., Skiena, S., & Vishne, U. (2006). Pattern Matching with Address Errors: Rearrangement Distances. Journal of Computer and Systems Sciences International, 75(6), 359-370.
Garber, D., Kaplan, S., Teicher, M., Tsaban, B., & Vishne, U. (2006). Length-based conjugacy search in the Braid group. Contemporary Mathematics, 418, 75-87.
Amram, M., Teicher, M., & Vishne, U. (2006). The Coxeter Quotient of the Fundamental Group of a Galois Cover of T × T. Communications in Algebr, 34(1), 89-106.
Amihood, A., Aumann, Y., Benson, G., Levi, A., LLipsky, O., Porat, E., Skiena, S., & Vishne, U. (2006). Pattern Matching with Address Errors: Rearrangement Distances. In 27th Annual ACM-SIAM Symposium of Discrete Algorithms (SODA)
Amram, M., Teicher, M., & Vishne, U. (2006). The Coxeter quotient of the fundamental group of a galois cover of ×. Communications in Algebra, 34(1), 89-106. https://doi.org/10.1080/00927870500346024
Lubotzky, A., Samuels, B., & Vishne, U. (2006). Division Algebras and Non-Commensurable Isospectral Manifolds. Duke Mathematical Journal, 135(2), 361-379.
2005
Rowen, L., Teicher, M., & Vishne, U. (2005). Coxeter covers of the symmetric groups. Journal of Group Theory, 8(2), 139-169. https://doi.org/10.1515/jgth.2005.8.2.139
Hazrat, R., & Vishne, U. (2005). Triviality of the functor Coker(K1(F) → K1(D)) for division algebras. Communications in Algebra, 33(5), 1427-1435. https://doi.org/10.1081/agb-200060525
Lubotzky, A., Samuels, B., & Vishne, U. (2005). Ramanujan complexes of type Ãd*. Israel Journal of Mathematics, 149, 267-299. https://doi.org/10.1007/bf02772543
Garber, D., Kaplan, S., Teicher, M., Tsaban, B., & Vishne, U. (2005). Probabilistic solutions of equations in the braid group. Advances in Applied Mathematics, 35(3), 323-334. https://doi.org/10.1016/j.aam.2005.03.002
Lubotzky, A., Samuels, B., & Vishne, U. (2005). Explicit constructions of Ramanujan complexes. European Journal of Combinatorics, 26(6), 965-993.
Lubotzky, A., Samuels, B., & Vishne, U. (2005). Explicit constructions of Ramanujan complexes of type Ãd European Journal of Combinatorics, 26(6 SPEC. ISS.), 965-993. https://doi.org/10.1016/j.ejc.2004.06.007
Katz, M. G., Schaps, M., & Vishne, U. (2005). Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups. Journal of Differential Geometry, 76(3), 399-422.
2004
Vishne, U. (2004). Galois cohomology of fields without roots of unity. Journal of Algebra, 279(2), 451-492. https://doi.org/10.1016/j.jalgebra.2003.12.020
2003
Vishne, U. (2003). Dihedral crossed products of exponent 2 are abelian. Archiv der Mathematik, 80(2), 119-122. https://doi.org/10.1007/s00013-003-0787-z
Garber, D., Teicher, M., & Vishne, U. (2003). π 1 -classification of real arrangements with up to eight lines Topology, 42(1), 265-289. https://doi.org/10.1016/S0040-9383(02)00009-5
2002
Tsaban, B., & Vishne, U. (2002). Efficient linear feedback shift registers with maximal period. Finite Fields and Their Applications, 8(2), 256-267. https://doi.org/10.1006/ffta.2001.0339
DAVID, GARBER., Teicher, M., & UZI, VISHNE. (2002). CLASSES OF WIRING DIAGRAMS AND THEIR INVARIANTS. Journal of Knot Theory and its Ramifications, 11(8), 1165-1191.
Vishne, U. (2002). Polynomial Identities of 2x2 matrices over the Grassmannian. Communications in Algebra, 30(1), 443-454.
Vishne, U. (2002). Generators of central simple p-algebras of degree 3. Israel Journal of Mathematics, 129, 175-187. https://doi.org/10.1007/bf02773162
Amram, M., Goldberg, D., Teicher, M., & Vishne, U. (2002). The Fundamental Group of a Galois cover of CP1 × T. Algebraic and Geometric Topology, 2, 403-432.
Garber, D., Teicher, M., & Vishne, U. (2002). Classes of wiring diagrams and their invariants. Journal of Knot Theory and its Ramifications, 11(8), 1165-1191. https://doi.org/10.1142/S0218216502002190
Amram, M., Goldberg, D., Teicher, M., & Vishne, U. (2002). The fundamental group of a Galois cover of CP1×T. Algebraic & Geometric Topology, 2(20), 403-432.
Vishne, U. (2002). Polynomial identities of M2(G). Communications in Algebra, 30(1), 443-454. https://doi.org/10.1081/AGB-120006502
1999
Vishne, U. (1999). Primitive algebras with arbitrary Gelfand-Kirillov dimension. Journal of Algebra, 211(1), 150-158. https://doi.org/10.1006/jabr.1998.7567
1998
Vishne, U. (1998). Mixing and Covering in the Symmetric Groups. Journal of Algebra, 205(1), 119-140. https://doi.org/10.1006/jabr.1997.7366
1997
Vishne, U. (1997). Factorization of trinomials over galois fields of characteristic 2. Finite Fields and Their Applications, 3(4), 370-377. https://doi.org/10.1006/ffta.1997.0191