Email this article Identifying Solutions to Systems of Equations in Semigroups with Finite Ideal
- Authors: Shevlyakov A.N.1,2
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Affiliations:
- Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences
- Omsk State Technical University
- Issue: Vol 55, No 1 (2016)
- Pages: 58-71
- Section: Article
- URL: https://journal-vniispk.ru/0002-5232/article/view/233971
- DOI: https://doi.org/10.1007/s10469-016-9376-7
- ID: 233971
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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.
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About the authors
A. N. Shevlyakov
Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences; Omsk State Technical University
Author for correspondence.
Email: a_shevl@mail.ru
Russian Federation, ul. Pevtsova 13, Omsk, 644099; pr. Mira 11, Omsk, 644050
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