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Algebra i logika, 2014, Volume 53, Number 1, Pages 109–129 (Mi al625)  
This article is cited in 4 scientific papers (total in 4 papers)

Unifying solutions to systems of equations in finite simple semigroups

A. N. Shevlyakov

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099, Russia
Full-text PDF (216 kB) Citations (4)
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Abstract: A semigroup $C$ is called an equational domain if every finite union of algebraic sets over $C$ is again an algebraic set. We study a class of finite simple semigroups and find necessary and sufficient conditions for such semigroups to be equational domains.
Keywords: finite simple semigroup, equational domain, algebraic set.
Received: 21.10.2013
Revised: 15.01.2014
English version:
Algebra and Logic, 2014, Volume 53, Issue 1, Pages 70–83
DOI: https://doi.org/10.1007/s10469-014-9271-z
Bibliographic databases:
Document Type: Article
UDC: 512.71+512.577+512.53
Language: Russian
Citation: A. N. Shevlyakov, “Unifying solutions to systems of equations in finite simple semigroups”, Algebra Logika, 53:1 (2014), 109–129; Algebra and Logic, 53:1 (2014), 70–83
Citation in format AMSBIB
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\pages 109--129
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    • This publication is cited in the following 4 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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    References:60
    First page:13
     
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