Unifying solutions to systems of equations in finite simple semigroups
Algebra i logika, Tome 53 (2014) no. 1, pp. 109-129

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A semigroup $C$ is called an equational domain if every finite union of algebraic sets over $C$ is again an algebraic set. We study a class of finite simple semigroups and find necessary and sufficient conditions for such semigroups to be equational domains.
Keywords: finite simple semigroup, algebraic set.
Mots-clés : equational domain
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     author = {A. N. Shevlyakov},
     title = {Unifying solutions to systems of equations in finite simple semigroups},
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A. N. Shevlyakov. Unifying solutions to systems of equations in finite simple semigroups. Algebra i logika, Tome 53 (2014) no. 1, pp. 109-129. http://geodesic.mathdoc.fr/item/AL_2014_53_1_a5/