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This article is cited in 4 scientific papers (total in 4 papers)
Combining solutions for systems equations in semigroups with finite ideal
A. N. Shevlyakovab a Omsk State Technical University, pr. Mira 11, Omsk, 644050 Russia
b Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099 Russia
Abstract:
A semigroup $S$ is called an equational domain if any finite union of algebraic sets over $S$ is again an algebraic set. We find necessary and sufficient conditions for a semigroup with a finite minimal two-sided ideal (in particular, a finite semigroup) to be an equational domain.
Keywords:
semigroups, equational domains, systems of equations.
Received: 27.03.2015 Revised: 10.07.2015
Citation:
A. N. Shevlyakov, “Combining solutions for systems equations in semigroups with finite ideal”, Algebra Logika, 55:1 (2016), 87–105; Algebra and Logic, 55:1 (2016), 58–71
Linking options:
https://www.mathnet.ru/eng/al731 https://www.mathnet.ru/eng/al/v55/i1/p87
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Abstract page: | 234 | Full-text PDF : | 63 | References: | 47 | First page: | 8 |
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