Identifying Solutions to Systems of Equations in Semigroups with Finite Ideal


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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.

作者简介

A. Shevlyakov

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences; Omsk State Technical University

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Email: a_shevl@mail.ru
俄罗斯联邦, ul. Pevtsova 13, Omsk, 644099; pr. Mira 11, Omsk, 644050

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