Eliyahu Matzri
Bar-Ilan University
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Publication
Featured researches published by Eliyahu Matzri.
Canadian Mathematical Bulletin | 2015
Ido Efrat; Eliyahu Matzri
Let p be a prime number and F a field containing a root of unity of order p. We relate recent results on vanishing of triple Massey products in the mod-p Galois cohomology of F, due to Hopkins, Wickelgren, Minayc, and Tan, to classical results in the theory of central simple algebras. For global fields, we prove a stronger form of the vanishing property.
Proceedings of the American Mathematical Society | 2012
Eliyahu Matzri; Louis Rowen; Uzi Vishne
We construct, for any prime p, a non-cyclic central simple algebra of degree p2 with p2-central elements. This construction answers a problem of Peter Roquette.
arXiv: Rings and Algebras | 2008
Eliyahu Matzri
In 1982 Rowen and Saltman proved that every division algebra which is split by a dihedral extension of degree 2n of the center, n odd, is in fact cyclic. The proof requires roots of unity of order n in the center. We show that for n = 5, this assumption can be removed. It then follows that 5 Br(F), the 5-torsion part of the Brauer group, is generated by cyclic algebras, generalizing a result of Merkurjev (1983) on the 2 and 3 torsion parts.
arXiv: Rings and Algebras | 2015
Daniel Krashen; Eliyahu Matzri
We give explicit linear bounds on the p-cohomological dimension of a field in terms of its Diophantine dimension. In particular, we show that for a field of Diophantine dimension at most 4, the 3-cohomological dimension is less than or equal to the Diophantine dimension.
Journal of the European Mathematical Society | 2017
Ido Efrat; Eliyahu Matzri
Transactions of the American Mathematical Society | 2015
Eliyahu Matzri
Manuscripta Mathematica | 2012
Eliyahu Matzri; Uzi Vishne
arXiv: Rings and Algebras | 2014
Eliyahu Matzri
Journal of Pure and Applied Algebra | 2016
Adam Chapman; David J. Grynkiewicz; Eliyahu Matzri; Louis Rowen; Uzi Vishne
Manuscripta Mathematica | 2014
Eliyahu Matzri; Uzi Vishne