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Matematicheskie Zametki, 2014, Volume 95, Issue 4, Pages 538–553
DOI: https://doi.org/10.4213/mzm9387 (Mi mzm9387) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A Four-Dimensional Simple Algebra with Fractional PI-Exponent

M. V. Zaicev, D. Repovša

a University of Ljubljana
Full-text PDF (533 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm9387
Abstract: Numerical characteristics of identities of finite-dimensional nonassociative algebras are studied. The main result is the construction of a four-dimensional simple unitary algebra with fractional PI-exponent strictly smaller than its dimension.
Keywords: finite-dimensional nonassociative algebra, identities of a nonassociative algebra, PI-exponent, fractional PI-exponent.
Received: 02.04.2012
Revised: 03.06.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 4, Pages 487–499
DOI: https://doi.org/10.1134/S0001434614030213
Bibliographic databases:
Document Type: Article
UDC: 512.81
Language: Russian
Citation: M. V. Zaicev, D. Repovš, “A Four-Dimensional Simple Algebra with Fractional PI-Exponent”, Mat. Zametki, 95:4 (2014), 538–553; Math. Notes, 95:4 (2014), 487–499
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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