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Algebra i logika, 2010, Volume 49, Number 5, Pages 670–689 (Mi al460)  

This article is cited in 7 scientific papers (total in 7 papers)

Differentiably simple alternative algebras

A. A. Popovab

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (239 kB) Citations (7)
References:
Abstract: Differentiably simple alternative nonassociative algebras of characteristic $p>0$ are described in terms of differentiably simple associative commutative algebras. Also we look at some properties of differentiably simple alternative nonassociative algebras of characteristic $0$.
Keywords: alternative algebra, Cayley–Dixon ring, Cayley–Dixon algebra, derivation, differentiably simple algebra.
Received: 26.11.2009
English version:
Algebra and Logic, 2010, Volume 49, Issue 5, Pages 456–469
DOI: https://doi.org/10.1007/s10469-010-9109-2
Bibliographic databases:
Document Type: Article
UDC: 512.554.5
Language: Russian
Citation: A. A. Popov, “Differentiably simple alternative algebras”, Algebra Logika, 49:5 (2010), 670–689; Algebra and Logic, 49:5 (2010), 456–469
Citation in format AMSBIB
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  • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
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    Abstract page:314
    Full-text PDF :104
    References:50
    First page:10
     
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