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Sbornik: Mathematics, 2004, Volume 195, Issue 1, Pages 1–18
DOI: https://doi.org/10.1070/SM2004v195n01ABEH000790 (Mi sm790) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Model algebras, multiplicities, and representability indices of varieties of associative algebras

A. V. Grishin

Moscow State Pedagogical University
English version PDF (242 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2004v195n01ABEH000790
Abstract: For a number of non-matrix varieties of associative algebras finite-dimensional (so-called model) algebras generating these varieties are calculated in this paper. In essence, the multiplicity and representability indices of such varieties are estimated. Simultaneously, an estimate of the multiplicity for a certain class of varieties of arbitrary complexity is given, which continues the previous studies of the author. The connection with quasipolynomials is also considered.
Received: 09.04.2003
Russian version:
Matematicheskii Sbornik, 2004, Volume 195, Number 1, Pages 3–20
DOI: https://doi.org/10.4213/sm790
Bibliographic databases:
UDC: 512
MSC: Primary 16R10; Secondary 16N40, 16R40, 16R50
Language: English
Original paper language: Russian
Citation: A. V. Grishin, “Model algebras, multiplicities, and representability indices of varieties of associative algebras”, Mat. Sb., 195:1 (2004), 3–20; Sb. Math., 195:1 (2004), 1–18
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:421
    Russian version PDF:181
    English version PDF:7
    References:57
    First page:1
     
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