The least degree of identities in the subspace \(M_1^{(m,k)}(F)\) of the matrix superalgebra \(M^{(m,k)}(F)\)
type: Item
instance of: scholarly article
title: The least degree of identities in the subspace \(M_1^{(m,k)}(F)\) of the matrix superalgebra \(M^{(m,k)}(F)\)
zbMATH Open document ID: 1283.15052
DOI: 10.3103/S1066369X12110011
author: Stepan Yuryevich Antonov
published in: Russian Mathematics
publication date: 2013-03-22T00:00:00Z
review text: The author determines the least degree of identities in the subspace \(M_1^{(m,k)}(F)\) of the matrix superalgebra \(M^{(m,k)}(F)\) over a field \(F\) for arbitrary \(m\) and \(k\). For the subspace \(M_1^{(m,k)}(F)\) (\(k>1\)) he obtains concrete minimal identities and generalize some results of \textit{Q. Chang} [Proc. Am. Math. Soc. 104, No. 3, 707--710 (1988; Zbl 0691.16022)] and \textit{M. Domokos} [Commun. Algebra 23, No. 12, 4333--4342 (1995; Zbl 0834.16019)].
reviewed by: Andreas Arvanitoyeorgos
Mathematics Subject Classification ID: 15A30
zbMATH DE Number: 6148261
zbMATH Keywords: double Capelli polynomial
zbMATH Keywords: polynomial identity
zbMATH Keywords: matrix superalgebra
MaRDI profile type: Publication
cites work: Q3961610
cites work: Minimal Identities for Algebras
cites work: Some estimations for the least degree of identities of subspaces \(M_1^{(m,k)}(F)\) of the matrix superalgebra \(M^{(m,k)}(F)\)
cites work: Some Consequences of the Standard Polynomial
cites work: A Generalization of a theorem of chang
cites work: On a polynomial identity for n\(\times n\) matrices
full work available at URL: s1066369x12110011
OpenAlex ID: W2061379763
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description: scientific article; zbMATH DE number 6148261