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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
Full-text PDF (294 kB) Citations (2)
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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
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 3, Pages 491–495
DOI: https://doi.org/10.1007/s11202-010-0051-2
Bibliographic databases:
Document Type: Article
UDC: 512.552.4
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:51
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