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School of Computer Science

Tel-Aviv Academic College

Prof. Adam Chapman

Prof. Adam Chapman

view: formal, yearly, linear.

Journal/Collection Publications

45 Adam Chapman and Ilan Levin. Alternating roots of polynomials over Cayley-Dickson algebras, Commun. Math., volume 32, number 2, pages 63–70, 2024.
44 A. Chapman. Symbol length of classes in Milnor $K$-groups, St. Petersburg Math. J., volume 34, number 4, pages 715–720, 2023, Translated from Algebra i Analiz {\bf 34} (2022), No. 4..
43 Adam Chapman. Essential dimension of central simple algebras of degree 8 and exponent 2 in characteristic 2, J. Algebra Appl., volume 22, number 11, pages Paper No. 2350240, 2023.
42 Adam Chapman. Octonion polynomials with values in a subalgebra, Eur. J. Math., volume 9, number 1, pages 4, 2023.
41 Adam Chapman, Mathieu Florence and Kelly McKinnie. Common splitting fields of symbol algebras, Manuscripta Math., volume 171, number 3-4, pages 649–662, 2023.
40 Adam Chapman, Letterio Gatto and Louis Rowen. Clifford semialgebras, Rend. Circ. Mat. Palermo (2), volume 72, number 2, pages 1197–1238, 2023.
39 Adam Chapman, Alexander Guterman, Solomon Vishkautsan and Svetlana Zhilina. Roots and critical points of polynomials over Cayley–Dickson algebras, Comm. Algebra, volume 51, number 4, pages 1355–1369, 2023.
38 Adam Chapman and Ilan Levin. Chain Lemma, Quadratic Forms and Symbol Length, Bull. Belg. Math. Soc. Simon Stevin, volume 30, number 2, pages 237–245, 2023.
37 Adam Chapman and Kelly McKinnie. Biquaternion Algebras, Chain Lemma and Symbol Length, Mediterr. J. Math., volume 20, number 5, pages 255, 2023.
36 Adam Chapman and Kelly McKinnie. Asymptotic Brauer $p$-dimension, in Algebra and Coding Theory, Contemp. Math., volume 785, pages 57–66, Amer. Math. Soc., [Providence], RI, 2023.
35 Adam Chapman. Linkage of sets of cyclic algebras, J. Pure Appl. Algebra, volume 226, number 3, pages Paper No. 106855, 6, 2022.
34 Adam Chapman and Solomon Vishkautsan. Roots and dynamics of octonion polynomials, Commun. Math., volume 30, number 2, pages 25–36, 2022.
33 ADAM CHAPMAN and SOLOMON VISHKAUTSAN. FIXED POINTS OF POLYNOMIALS OVER DIVISION RINGS, Bull. Aust. Math. Soc., volume 104, number 2, pages 256–262, 2021.
32 Adam Chapman. Linkage of sets of quaternion algebras in characteristic 2, Comm. Algebra, volume 49, number 9, pages 3680–3684, 2021.
31 Demba Barry, Adam Chapman and Ahmed Laghribi. The descent of biquaternion algebras in characteristic two, Israel J. Math., volume 235, number 1, pages 295–323, 2020.
30 Adam Chapman. Factoring octonion polynomials, Internat. J. Algebra Comput., volume 30, number 7, pages 1457–1463, 2020.
29 Adam Chapman. Polynomial equations over octonion algebras, J. Algebra Appl., volume 19, number 6, pages 2050102, 10, 2020.
28 Adam Chapman. Field of Iterated Laurent Series and its Brauer Group, Bull. Belg. Math. Soc. Simon Stevin, volume 27, number 1, pages 1–6, 2020.
27 Adam Chapman. Linkage of symbol $p$-algebras of degree 3, Arch. Math. (Basel), volume 114, number 4, pages 391–398, 2020.
26 Adam Chapman and Kelly McKinnie. Essential Dimension, Symbol Length and $p$-rank, Canad. Math. Bull., volume 63, number 4, pages 882–890, 2020.
25 Adam Chapman and Andrew Dolphin. Types of linkage of quadratic Pfister forms, J. Number Theory, volume 199, pages 352–362, 2019.
24 Adam Chapman and Kelly McKinnie. The $u^n$-invariant and the symbol length of $H_2^n(F)$, Proc. Amer. Math. Soc., volume 147, number 2, pages 513–521, 2019.
23 Adam Chapman and Jean-Pierre Tignol. Linkage of Pfister forms over $\Bbb C(x_1,\dots,x_n)$, Ann. K-Theory, volume 4, number 3, pages 521–524, 2019.
22 Adam Chapman and Uzi Vishne. The alternative Clifford algebra of a ternary quadratic form, Comm. Algebra, volume 47, number 10, pages 3987–3994, 2019.
21 Eyal Cornfeld and Adam Chapman. Classification of Crystalline Topological Insulators and Superconductors with Point Group Symmetries, Phys. Rev. B, volume 99, number 7, pages 075105, 2019.
20 Adam Chapman. Common slots of bilinear and quadratic Pfister forms, Bull. Aust. Math. Soc., volume 98, number 1, pages 38–47, 2018.
19 Adam Chapman, Andrew Dolphin and David B. Leep. Triple linkage of quadratic Pfister forms, Manuscripta Math., volume 157, number 3-4, pages 435–443, 2018.
18 Adam Chapman and Kelly McKinnie. Kato-Milne cohomology and polynomial forms, J. Pure Appl. Algebra, volume 222, number 11, pages 3547–3559, 2018.
17 Adam Chapman. Kummer subspaces of tensor products of cyclic algebras, Proc. Amer. Math. Soc., volume 145, number 10, pages 4247–4253, 2017.
16 Adam Chapman. Symbol length of $p$-algebras of prime exponent, J. Algebra Appl., volume 16, number 7, pages 1750136, 9, 2017.
15 Adam Chapman and Michael Chapman. Symbol $p$-algebras of prime degree and their $p$-central subspaces, Arch. Math. (Basel), volume 108, number 3, pages 241–249, 2017.
14 Adam Chapman and Andrew Dolphin. Differential forms, linked fields, and the $u$-invariant, Arch. Math. (Basel), volume 109, number 2, pages 133–142, 2017.
13 Adam Chapman, Shira Gilat and Uzi Vishne. Linkage of quadratic Pfister forms, Comm. Algebra, volume 45, number 12, pages 5212–5226, 2017.
12 Adam Chapman and Casey Machen. Standard polynomial equations over division algebras, Adv. Appl. Clifford Algebr., volume 27, number 2, pages 1065–1072, 2017.
11 Adam Chapman and Charlotte Ure. Tensor products of cyclic algebras of degree 4 and their Kummer subspaces, Comm. Algebra, volume 45, number 3, pages 1218–1226, 2017.
10 Adam Chapman, Andrew Dolphin and Ahmed Laghribi. Total linkage of quaternion algebras and Pfister forms in characteristic two, J. Pure Appl. Algebra, volume 220, number 11, pages 3676–3691, 2016.
9 Adam Chapman, David J. Grynkiewicz, Eliyahu Matzri, Louis H. Rowen and Uzi Vishne. Kummer spaces in symbol algebras of prime degree, J. Pure Appl. Algebra, volume 220, number 10, pages 3363–3371, 2016.
8 Demba Barry and Adam Chapman. Square-central and Artin-Schreier elements in division algebras, Arch. Math. (Basel), volume 104, number 6, pages 513–521, 2015.
7 Adam Chapman. Common subfields of $p$-algebras of prime degree, Bull. Belg. Math. Soc. Simon Stevin, volume 22, number 4, pages 683–688, 2015.
6 Adam Chapman. Quaternion quadratic equations in characteristic 2, J. Algebra Appl., volume 14, number 3, pages 1550033, 8, 2015.
5 Adam Chapman. Chain equivalences for symplectic bases, quadratic forms and tensor products of quaternion algebras, J. Algebra Appl., volume 14, number 3, pages 1550030, 9, 2015.
4 Adam Chapman and Jung-Miao Kuo. On the generalized Clifford algebra of a monic polynomial, Linear Algebra Appl., volume 471, pages 184–202, 2015.
3 Adam Chapman and Uzi Vishne. Square-central elements and standard generators for biquaternion algebras, Israel J. Math., volume 197, number 1, pages 409–423, 2013.
2 Adam Chapman. General polynomials over division algebras and left eigenvalues, Electron. J. Linear Algebra, volume 23, pages 508–513, 2012.
1 Adam Chapman and Uzi Vishne. Clifford algebras of binary homogeneous forms, J. Algebra, volume 366, pages 94–111, 2012.
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