|
Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 3, Pages 620–625
(Mi smj2112)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
An analog of the Amitsur–Levitzki theorem for matrix superalgebras
L. M. Samoĭlov Ulyanovsk State University, Faculty of Mathematics and Information Technologies, Ulyanovsk
Abstract:
We construct a polynomial identity of degree $2(nk+n+k)-\min\{n,k\}$ for the matrix superalgebra $M_{n,k}$ over a field of characteristic zero. The conjecture is formulated that $M_{n,k}$ lacks any identities of lower degree.
Keywords:
matrix superalgebra, polynomial identity, trace identity.
Received: 19.02.2009
Citation:
L. M. Samoǐlov, “An analog of the Amitsur–Levitzki theorem for matrix superalgebras”, Sibirsk. Mat. Zh., 51:3 (2010), 620–625; Siberian Math. J., 51:3 (2010), 491–495
Linking options:
https://www.mathnet.ru/eng/smj2112 https://www.mathnet.ru/eng/smj/v51/i3/p620
|
Statistics & downloads: |
Abstract page: | 293 | Full-text PDF : | 94 | References: | 42 | First page: | 6 |
|