Uzi Vishne

                                 Publications


0. Central Simple Algebras, PhD thesis, Bar-Ilan University. Submitted: 7/2000, Approved: 4/2001.

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A. Proceedings of the "Amitsur Centenniel Conference" 2021, CONM IMCP, AMS, Providence, RI, to appear 2024, editor.

1. Uzi 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. Uzi Vishne, Mixing and Covering in the Symmetric Groups, Journal of Algebra, Vol. 205(1), 119-140, (1998).
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3. Uzi Vishne, Primitive Algebras of Arbitrary Gelfand-Kirillov Dimension, Journal of Algebra, Vol. 211(1), 150-158, (1999).
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4. Uzi 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. Boaz Tsaban and Uzi 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. Uzi Vishne, Generators of central simple $p$-Algebras of Degree $3$, Israel J. Math., Vol. 129, 175-188, (2002).
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7. David Garber, Mina Teicher and Uzi 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. Meirav Amram, David Goldberg, Mina Teicher and Uzi 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. David Garber, Mina Teicher and Uzi Vishne, $\pi_1$-classification of real arrangements with up to eight lines, Topology, Vol. 42(1), 265-289, (2003).
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10. Uzi Vishne, Dihedral crossed products of exponent $2$ are Abelian, Archiv. der Math., Vol. 80(2), 119-122, (2003).
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11. Uzi Vishne, Galois cohomology of fields without roots of Unity, Journal of Algebra, Vol. 279(2), 451-492, (2004).
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12. Louis H. Rowen, Mina Teicher and Uzi Vishne, Coxeter Covers of the Symmetric Groups, J. Group Theory, Vol. 8, 139-169, (2005).
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13. Alex Lubotzky, Beth Samuels and Uzi 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. Alex Lubotzky, Beth Samuels and Uzi Vishne, Ramanujan complexses of type $\tilde{A_d}$, Israel J. Math., Vol. 149, 267-300, (2005).
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15. Roozbeh Hazrat and Uzi 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. David Garber, Shmuel Kaplan, Mina Teicher, Boaz Tsaban and Uzi Vishne, Probabilistic Solutions of equations in the braid group , Advances in Applied Mathematics, Vol. 35(3), 323-334, (2005).
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17. Agata Smoktunowicz and Uzi 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. Meirav Amram, Mina Teicher and Uzi 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. Alex Lubotzky, Beth Samuels and Uzi Vishne, Division algebras and noncommensurable isospectral Manifolds, Duke J. Math., Vol. 135(2), 361-379, (2006).
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20. Alex Lubotzky, Beth Samuels and Uzi Vishne, Isospectral Cayley graphs of some finite simple groups, Duke J. Math., Vol. 135, 381-393, (2006).
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21. David Garber, Shmuel Kaplan, Mina Teicher, Boaz Tsaban and Uzi Vishne, Length-based conjugacy search in the braid Group, Contemporary Mathematics, Vol. 418, 75-87, (2006).
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22. Amihood Amir, Yonatan Aumann, Gary Benson, Avivit Levy, Ohad Lipsky, Ely Porat, Steven Skiena, and Uzi 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. Alexei Belov, Louis H. Rowen and Uzi Vishne, Normal bases of PI-algebras, Advances in Applied Mathematics, Vol. 37(3), 378-389, (2006).
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24. Mikhail Katz, Malka Schaps and Uzi 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. Meirav Amram, Mina Teicher and Uzi 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. Meirav Amram, Mina Teicher and Uzi 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. Amihood Amir, Yonatan Aumann, Gary Benson, Avivit Levy, Ohad Lipsky, Ely Porat, Steven Skiena and Uzi Vishne, Pattern Matching with Address Error: Rearrangement Distances, Journal of Computers and Systems Sciences, Vol. 75(6), 359-370, (2009).

28. Phillip Gille and Uzi Vishne, Kneser-Tits Problem for trialitarian groups and bounded generation by restricted elements, Oberwolfach Proceedings series, 1407-1410, (2009).
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29. Alexei Belov, Louis H. Rowen and Uzi Vishne, Structure of Zariski closed algebras, Transactions of the AMS, Vol. 362(9), 4695-4734, (2010).
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30. Louis H. Rowen, David Saltman, Yoav Segev and Uzi 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. Asher Auel, Eric Brussel, Skip Garibaldi and Uzi Vishne, Open problems on Central Simple Algebras, Transformation Groups, Vol. 16(1), 219-264, (2011).
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32. Alon Amit and Uzi 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. Alexei Belov, Louis H. Rowen and Uzi 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. Uzi Vishne, Polynomial Identities of $M_{2,1}(G)$, Communications in Algebra, Vol. 39(6), 2044-2050, (2011).
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35. Mikhail Katz, Malka Schaps and Uzi Vishne, Hurwitz quaternion order and arithmetic Riemann surfaces, Geometriae Dedicata, Vol. 155(1), 151-161, (2011).
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36. Eliyahu Matrzi and Uzi 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. Eliyahu Matzri, Louis H. Rowen and Uzi Vishne, Non-cyclic algebras with $n$-central elements, Proceedings of the AMS, Vol. 140(2), 513-518, (2012).
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38. Meirav Amram, Ruth Lawrence and Uzi Vishne, Artin covers of the braid groups, Journal of Knots and their Ramifications, Vol. 21(7), 46 pp., (2012).
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39. Alexei Belov, Louis H. Rowen and Uzi Vishne, Full quivers of representations of algebras, Transactions of the AMS, Vol. 364, 5525-5569, (2012).
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40. Alexei Belov, Louis H. Rowen and Uzi Vishne, Full exposition of Specht's problem, Serdica Math J., Vol. 38, 313-370, (2012).

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

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

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

47. Eliyahu Matzri and Uzi Vishne, Composition algebras and cyclic $p$-algebras in characteristic $3$, Manuscripta Mathematica, Vol. 143(1), 1-18, (2014).
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48. Antonio Giambruno, Louis H. Rowen and Uzi 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. Alexei Belov, Louis H. Rowen and Uzi 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. Karin Katz, Mikhail Katz, Michael Schein and Uzi Vishne, Bolza quaternion order and asymptotics of systoles along congruence subgroups, Experimental Mathematics, Vol. 25(4), (2016).
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51. Beeri Greenfeld, Louis H. Rowen and Uzi Vishne, Union of chains of primes, J Pure Appl Alg, Vol. 220(4), 1451-1461, (2016).
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52. Adam Chapman, David J. Grynkiewicz, Elyahu Matzri, Louis H. Rowen and Uzi Vishne, Kummer Spaces in Cyclic Algebras of Prime Degree, J Pure Appl Alg, Vol. 220(10), 3363-3371, (2016).
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53. Eliyahu Matzri, Louis H. Rowen, David Saltman and Uzi Vishne, Bimodule strucutre of central simple algebras, Journal of Algebra, Vol. 471, 454-479, (2017).
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54. Adam Chapman, Shira Gilat and Uzi Vishne, Linkage of Quadratic Pfister Forms, Communications in Algebra, Vol. 12, 5212-5226, (2017).
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55. Adam Chapman and Uzi Vishne, The alternative Clifford algebra of a ternary quadratic form, Communications in Algebra, Vol. 47(10), 3987-3994, (2019).
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56. David Garber and Uzi Vishne, Property testing for cubical complexes, Discrete and Computational Geometry, Vol. 65, 893-915, (2019).
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57. Meirav Amram, Ethan Fisher, Shai Gul and Uzi Vishne, A Transformational Approach to Harmony Improvisation, Proceedings of "Bridges 2020", (2020).

58. Meirav Amram, Ethan Fisher, Shai Gul and Uzi Vishne, A Transformational Modified Markov Process for Chord-Based Algorithmic Composition, Mathematical and Computational Applications, (2020).

59. Guy Blachar, Elyahu Matzri, Louis H. Rowen and Uzi Vishne, $\ell$-weak identities and central polynomials for matrix algebras, INdAM series, Proceedings of the workshop ``Polynomial Identities in Algebras'', (2020).
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60. Alexei Belov, Gal Dor and Uzi Vishne, Generalized sign and the Grassmann algebra in arbitrary characteristic, Transactions of the AMS, 227-253, (2020).
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61. David Grynkiewicz and Uzi Vishne, The Index of Small Length Sequences, J Pure Appl Alg, Vol. 30(5), 977-1014, (2020).
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62. Guy Blachar, Louis H. Rowen and Uzi 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).
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63. Uzi Vishne, Four halves of the inverse property in loop extensions, Quasigroups and Related Systems, Vol. 29, 283-302, (2021).
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64. Guy Blachar, Orit Sela--Ben-David and Uzi Vishne, Abelianization of the Cartwright-Steger lattice, Algebra and Discrete Mathematics, Vol. 34(2), 176-186, (2022).

65. Tamar Bar-On, Eliyahu Matzri, Shira Gilat and Uzi Vishne, Locally finite central simple algebras, Algebras and Representation Theory, 553-607, (2023).

66. Guy Blachar, Louis H. Rowen, and Uzi Vishne, Identities of the algebra $\mathbb{O} \otimes \mathbb{O}$, Contemporary Mathematics, Noncommutative Rings and their Applications VII: Algebra and Coding Theory, In honor of Tariq Rizvi, (Leroy and Jain, eds.), 2021, Vol. 785, 35-45, (2023).

67. Danny Neftin and Uzi Vishne, Field of definition for admissible groups, Albanian J. Math, Vol. 17(2), 81-92, (2023).
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68. Alexei Belov, Louis H. Rowen and Uzi Vishne, Representability of relatively free affine algebras over a Noetherian ring, accepted to Journal of Algebra and Its applications (2025).
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69. Guy Blachar, Darrell Haile, Eliyahu Matzri, Edan Rein and Uzi Vishne, Semiassociative algebras over a field, accepted to Journal of Algebra (2024).
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70. Shira Gilat and Uzi Vishne, Maximal subspaces in Polar Geometry, submitted.

71. Meirav Amram, Cheng Gong, Praveen Roy, Uriel Sinichkin and Uzi Vishne, The fundamental group of Galois covers of surfaces of degree $8$, submitted.







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Last updated: 20 Mar 2024