Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 5, Pages 54–57 (Mi vmumm270)  
This article is cited in 5 scientific papers (total in 5 papers)

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Graded identities in finite-dimensional algebras of codimensions of identities in associative algebras

M. V. Zaicev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (306 kB) Citations (5)
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Abstract: Numerical characteristics of identities of finite-dimensional $\mathbb Z_2$-algebras are studied in the paper. We prove that the graded colength of any such an algebra is polynomially bounded function.
Key words: identities, symmetric group action, colength.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00234а
Received: 01.09.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 5, Pages 234–236
DOI: https://doi.org/10.3103/S0027132215050101
Bibliographic databases:
Document Type: Article
UDC: 512.572
Language: Russian
Citation: M. V. Zaicev, “Graded identities in finite-dimensional algebras of codimensions of identities in associative algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 5, 54–57; Moscow University Mathematics Bulletin, 70:5 (2015), 234–236
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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