Algebraic geometry over completely simple semigroups

P. A. Ulyashev<sup>ab

a</sup> 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

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.

UDC: 512.533.52

Received: 29.07.2015

DOI: 10.17377/alglog.2016.55.506

 English version: Algebra and Logic, 2016, 55:5, 394–402

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