Enviar artigo por via de e-mail Identifying Solutions to Systems of Equations in Semigroups with Finite Ideal
- Autores: Shevlyakov A.N.1,2
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Afiliações:
- Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences
- Omsk State Technical University
- Edição: Volume 55, Nº 1 (2016)
- Páginas: 58-71
- Seção: Article
- URL: https://journals.rcsi.science/0002-5232/article/view/233971
- DOI: https://doi.org/10.1007/s10469-016-9376-7
- ID: 233971
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Resumo
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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Sobre autores
A. Shevlyakov
Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences; Omsk State Technical University
Autor responsável pela correspondência
Email: a_shevl@mail.ru
Rússia, ul. Pevtsova 13, Omsk, 644099; pr. Mira 11, Omsk, 644050
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