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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 5, Pages 13–27 (Mi ivm8700)  
This article is cited in 1 scientific paper (total in 1 paper)

Some estimates for the least power of identities of subspaces $M_1^{(m,k)}(F)$ of the matrix superalgebra $M^{(m,k)}(F)$

S. Yu. Antonov

Chair of Higher Mathematics, Kazan State Power Engineering University, Kazan, Russia
Full-text PDF (290 kB) Citations (1)
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Abstract: We estimate the least power of identities of subspaces $M_1^{(m, k)}(F)$ of the matrix superalgebra $M^{(m, k)}(F)$ over the field $F$ for any $m$ and $k$. For subspaces $M_1^{(m, 1)}(F)$ $(m\geq1)$ and $M_1^{(2,2)}(F)$ we obtain concrete minimal identities.
Keywords: $T$-ideal, polynomial identity, matrix superalgebra.
Received: 11.01.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 5, Pages 9–22
DOI: https://doi.org/10.3103/S1066369X12050027
Bibliographic databases:
Document Type: Article
UDC: 512
Language: Russian
Citation: S. Yu. Antonov, “Some estimates for the least power of identities of subspaces $M_1^{(m,k)}(F)$ of the matrix superalgebra $M^{(m,k)}(F)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 5, 13–27; Russian Math. (Iz. VUZ), 56:5 (2012), 9–22
Citation in format AMSBIB
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\by S.~Yu.~Antonov
\paper Some estimates for the least power of identities of subspaces $M_1^{(m,k)}(F)$ of the matrix superalgebra $M^{(m,k)}(F)$
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 5
\pages 13--27
\mathnet{http://mi.mathnet.ru/ivm8700}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076886}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 5
\pages 9--22
\crossref{https://doi.org/10.3103/S1066369X12050027}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862671701}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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