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Algebra i logika, 2016, Volume 55, Number 5, Pages 597–610
DOI: https://doi.org/10.17377/alglog.2016.55.506 (Mi al764) 		 
Algebraic geometry over completely simple semigroups

P. A. Ulyashevab

a Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099 Russia
b Omsk State Technical University, pr. Mira 11, Omsk, 644050 Russia
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DOI: https://doi.org/10.17377/alglog.2016.55.506
Abstract: Algebraic geometry over completely simple semigroups is considered. We prove theorems that define coordinate semigroups and irreducible coordinate semigroups in several classes of completely simple semigroups.
Keywords: algebraic set, completely simple semigroup, equation.
Funding agency Grant number
Russian Science Foundation 14-11-00085
Supported by Russian Science Foundation, project 14-11-00085.
Received: 29.07.2015
English version:
Algebra and Logic, 2016, Volume 55, Issue 5, Pages 394–402
DOI: https://doi.org/10.1007/s10469-016-9411-8
Bibliographic databases:
Document Type: Article
UDC: 512.533.52
Language: Russian
Citation: P. A. Ulyashev, “Algebraic geometry over completely simple semigroups”, Algebra Logika, 55:5 (2016), 597–610; Algebra and Logic, 55:5 (2016), 394–402
Citation in format AMSBIB
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\by P.~A.~Ulyashev
\paper Algebraic geometry over completely simple semigroups
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\vol 55
\issue 5
\pages 597--610
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\jour Algebra and Logic
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\vol 55
\issue 5
\pages 394--402
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