Uzi Vishne

                                 Publications


0. Central Simple Algebras, PhD thesis, Bar-Ilan University. Submitted: 7/2000, Approved: 4/2001.
My thesis deals with several topics in central simple algebras.
The first chpater is mainly on p-algebras of exponent p.
The second chpater is a detailed study of the Brauer algebra, focusing on the case of exponent=p.
The third chapter is essencially item [6] below.
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1. U. Vishne, Factorization of Trinomials over Galois Fields of Characteristic $2$, Finite Fields and Their Applications, Vol. 3(4), 370-377, (1997).
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2. U. Vishne, Mixing and Covering in the Symmetric Groups, Journal of Algebra, Vol. 205(1), 119-140, (1998).
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3. U. Vishne, Primitive Algebras of Arbitrary Gelfand-Kirillov Dimension, Journal of Algebra, Vol. 211(1), 150-158, (1999).
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4. U. Vishne, Polynomial Identities of $2\times 2$ matrices over the Grassmannian, Communications in Algebra, Vol. 30(1), 443-454, (2002).
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5. B. Tsaban and U. Vishne, Efficient linear feedback shift registers with maximal period, Finite Fields and Their Applications, Vol. 8(2), 256-267, (2002).
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6. U. Vishne, Generators of central simple $p$-Algebras of Degree $3$, Israel J. Math., Vol. 129, 175-188, (2002).
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7. D. Garber, M. Teicher and U. Vishne, Classes of Wiring Diagrams and their invariants, Journal of Knot Theorey and its Ramifications, Vol. 11(8), 1165-1191, (2002).
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8. M. Amram, D. Goldberg, M. Teicher and U. Vishne, The Fundamental Group of a Galois cover of ${\mathbb CP}^1\times {\mathbb T}$, Algebraic and Geometric Topology, Vol. 2, 403-432, (2002).
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9. D. Garber, M. Teicher and U. Vishne, $\pi_1$-classification of real arrangements with up to eight lines, Topology, Vol. 42(1), 265-289, (2003).
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10. U. Vishne, Dihedral crossed products of exponent $2$ are Abelian, Archiv. der Math., Vol. 80(2), 119-122, (2003).
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11. U. Vishne, Galois cohomology of fields without roots of Unity, Journal of Algebra, Vol. 279(2), 451-492, (2004).
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12. L.H. Rowen, M. Teicher and U. Vishne, Coxeter Covers of the Symmetric Groups, J. Group Theory, Vol. 8, 139-169, (2005).
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13. A. Lubotzky, B. Samuels and U. Vishne, Explicit construction of Ramanujan complexes of type $\tilde{A_d}$, European J. of Combinatorics, Vol. 26(6), 965-993, (2005).
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14. A. Lubotzky, B. Samuels and U. Vishne, Ramanujan complexses of type $\tilde{A_d}$, Israel J. Math., Vol. 149, 267-300, (2005).
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15. R. Hazrat and U. Vishne, Triviality of the functor $\operatorname{Coker}(K_1(F)\rightarrow K_1(D))$ for division algebras, Communications in Algebra, Vol. 33, 1427-1435, (2005).
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16. D. Garber, S. Kaplan, M. Teicher, B. Tsaban and U. Vishne, Probabilistic Solutions of equations in the braid group , Advances in Applied Mathematics, Vol. 35(3), 323-334, (2005).
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17. A. Smoktunowicz and U. Vishne, An affine prime non-semiprimitive monomial algebra with quadratic growth, Advances in Applied Mathematics, Vol. 37, 511-513, (2006).
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18. M. Amram, M. Teicher and U. Vishne, The Coxeter quotient of the fundamental group of the Galois cover of ${\mathbb T} \times {\mathbb T}$, Communications in Algebra, Vol. 34, 89-106, (2006).
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19. A. Lubotzky, B. Samuels and U. Vishne, Division algebras and noncommensurable isospectral Manifolds, Duke J. Math., Vol. 135(2), 361-379, (2006).
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20. A. Lubotzky, B. Samuels and U. Vishne, Isospectral Cayley graphs of some finite simple groups, Duke J. Math., Vol. 135, 381-393, (2006).
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21. D. Garber, S. Kaplan, M. Teicher, B. Tsaban and U. Vishne, Length-based conjugacy search in the braid Group, Contemporary Mathematics, Vol. 418, 75-87, (2006).
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22. A. Amir, Y. Aumann, G. Benson, ... and U. Vishne, Pattern Matching with Address Error: Rearrangement Distances, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms, 1221-1229, (2006).
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23. A. Belov, L.H. Rowen and U. Vishne, Normal bases of PI-algebras, Advances in Applied Mathematics, Vol. 37(3), 378-389, (2006).
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24. M. Katz, M. Schaps and U. Vishne, Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups, J. of Differenital Geom., Vol. 76(3), 399-422, (2007).
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25. M. Amram, M. Teicher and U. Vishne, The fundamental group of the Galois cover for Hirzebruch surface $F_1(2,2)$, International J. Algebra and Computation, Vol. 17(3), 507-525, (2007).
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26. M. Amram, M. Teicher and U. Vishne, The fundamental group of Galois cover of ${\mathbb T} \times {\mathbb T}$, International J. Algebra and Computation, Vol. 18(8), 1259-1282, (2008).
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27. A. Amir, Y. Aumann, G. Benson, ... and U. Vishne, Pattern Matching with Address Error: Rearrangement Distances, Journal of Computers and Systems Sciences, Vol. 75(6), 359-370, (2009).

28. Ph. Gille and U. Vishne, Kneser-Tits Problem for trialitarian groups and bounded generation by restricted elements, Oberwolfach Proceedings series, 1407-1410, (2009).
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29. A. Belov, L. Rowen and U. Vishne, Structure of Zariski closed algebras, Transactions of the AMS, Vol. 362(9), 4695-4734, (2010).
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30. L.H. Rowen, D. Saltman, Y. Segev and U. Vishne, An Azumaya algebra version of the Kneser-Tits problem for groups of type~${}^{3,6}D_4$, Communications in Algebra, Vol. 39(1), 133-152, (2011).

31. A. Auel, E. Brussel, S. Garibaldi and U. Vishne, Open problems on Central Simple Algebras, Transformation Groups, Vol. 16(1), 219-264, (2011).
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32. A. Amit and U. Vishne, Characters and the number of solutions to equations in Groups, Journal of Algebra and Its Applications, Vol. 10(4), 675-686, (2011).
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33. A. Belov, L.H. Rowen and U. Vishne, Application of full quivers of representations of algebras, to polynomial identities, Communications in Algebra, Vol. 39, 4536-4551, (2011).
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34. U. Vishne, Polynomial Identities of $M_{2,1}(G)$, Communications in Algebra, Vol. 39(6), 2044-2050, (2011).
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35. M. Katz, M. Schaps and U. Vishne, Hurwitz quaternion order and arithmetic Riemann surfaces, Geometriae Dedicata, Vol. 155(1), 151-161, (2011).
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36. E. Matrzi and U. Vishne, Isotropic subspaces in symmetric composition algebras and Kummer subspaces in central simple algebras of degree $3$, Manuscripta Mathematica, Vol. 137(3), 497-523, (2012).
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37. E. Matzri, L.H Rowen and U. Vishne, Non-cyclic algebras with $n$-central elements, Proceedings of the AMS, Vol. 140(2), 513-518, (2012).
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38. M. Amram, R. Lawrence and U. Vishne, Artin covers of the braid groups, Journal of Knots and their Ramifications, Vol. 21(7), 46 pp., (2012).
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39. A. Belov, L.H. Rowen and U. Vishne, Full quivers of representations of algebras, Transactions of the AMS, Vol. 364, 5525-5569, (2012).
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40. A. Belov, L.H. Rowen and U. Vishne, Full exposition of Specht's problem, Serdica Math J., Vol. 38, 313-370, (2012).

41. A. Chapman and U. Vishne, Clifford algebras of binary homogeneous forms, Journal of Algebra, Vol. 366, 94-111, (2012).
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42. K. Hochberg, A. Sandach, M. Snyder and U. Vishne, Confidence Interval for Risk Score Index, Methodology and Computing in Applied Probability, Vol. 15(4), 987-1002, (2013).

43. D. Neftin and U. Vishne, Admissibility under extension of number fields, Documenta Mathematica, Vol. 18, 359-382, (2013).
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44. U. First and U. Vishne, Stiefel-Whitney Invariants for Bilinear Forms, Linear Algebra and its Applications, Vol. 439, 1905-1917, (2013).
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45. A. Belov, L.H. Rowen and U. Vishne, PI-varieties associated to full quivers of representations of algebras, Transactions of the AMS, Vol. 365(5), 40 pp., (2013).

46. A. Chapman and U. Vishne, Square-central elements and standard generators for biquaternion algebras, Israel J. Math., Vol. 197, 409-423, (2013).

47. E. Matzri and U. Vishne, Composition algebras and cyclic $p$-algebras in characteristic $3$, Manuscripta Mathematica, Vol. 143(1), 1-18, (2014).
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48. A. Giambruno, L.H. Rowen and U. Vishne, Zariski closed algebras in varieties of universal algebra, Journal of Algebra and Rep. Theory, Vol. 17, 11 pp., (2014).
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49. A. Belov, L.H. Rowen and U. Vishne, Specht's problem for associative affine algebras over commutative Noetherian rings, Transactions of the AMS, Vol. 367(8), 5553-5596, (2015).
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50. K. Katz, M. Katz, M. Schein and U. Vishne, Bolza quaternion order and asymptotics of systoles along congruence subgroups, Experimental Mathematics, Vol. 25(4), (2016).
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51. B. Greenfeld, L.H. Rowen and U. Vishne, Union of chains of primes, J Pure Appl Alg, Vol. 220(4), 1451-1461, (2016).
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52. A. Chapman, D.J. Grynkiewicz, E. Matzri, L.H. Rowen and U. Vishne, Kummer Spaces in Cyclic Algebras of Prime Degree, J Pure Appl Alg, Vol. 220(10), 3363-3371, (2016).
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53. E. Matzri, L.H. Rowen, D. Saltman and U. Vishne, Bimodule strucutre of central simple algebras, Journal of Algebra, Vol. 471, 454-479, (2017).
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54. A. Chapman, Sh. Gilat and U. Vishne, Linkage of Quadratic Pfister Forms, Communications in Algebra, Vol. 12, 5212-5226, (2017).
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55. A. Chapman and U. Vishne, The alternative Clifford algebra of a ternary quadratic form, Communications in Algebra, (2019).
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56. D. Garber and U. Vishne, Property testing for cubical complexes, Discrete and Computational Geometry, Vol. 65, 893-915, (2019).
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57. M. Amram, E. Fisher, Sh. Gul and U. Vishne, A Transformational Approach to Harmony Improvisation, Proceedings of "Bridges 2020", (2020).

58. M. Amram, E. Fisher, Sh. Gul and U. Vishne, A Transformational Modified Markov Process for Chord-Based Algorithmic Composition, Mathematical and Computational Applications, (2020).

59. G. Blashar, E. Matzri, L.H. Rowen and U. Vishne, $\ell$-weak identities and central polynomials for matrix algebras, INdAM series, Proceedings of the workshop ``Polynomial Identities in Algebras'', (2020).

60. A. Belov, G. Dor and U. Vishne, Generalized sign and the Grassmann algebra in arbitrary characteristic, Transactions of the AMS, 26 pp., (2020).
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61. D. Grynkiewicz and U. Vishne, The Index of Small Length Sequences, J Pure Appl Alg, Vol. 30(5), 977-1014, (2020).
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62. G. Blashar, L.H. Rowen and U. Vishne, Noncommutative inclusion-exclusion, representations of left regular bands and the Tsetlin library, International J of Algebra and Computation, Vol. 31(1), 37-62, (2020).

63. U. Vishne, Four halves of the inverse property in loop extensions, accepted to Quasigroups and Related Systems (2021).

64. D. Neftin and U. Vishne, Field of definition for admissible groups, 11 pp., preprint.
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65. T. Bar-On, E. Matzri, Sh. Gilat and U. Vishne, Locally finite central simple algberas, submitted.

66. A. Belov, L.H. Rowen and U. Vishne, Representability of affine algebras over an arbitrary field, submitted.
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67. Sh. Gilat and U. Vishne, Maximal subspaces in Polar Geometry, submitted.







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Last updated: 26 Jul 2021