On disjunctions of algebraic sets in completely simple semigroups |
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| Authors: | Artem N Shevlyakov |
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| Institution: | 1. Sobolev Institute of Mathematics, Omsk, Russian Federation;2. Omsk State Technical University, Omsk, Russian Federationa_shevl@mail.ru |
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| Abstract: | A semigroup S is called an equational domain if any finite union of algebraic sets over S is algebraic. We give some necessary and su?cient conditions for a completely simple semigroup to be an equational domain. |
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| Keywords: | Algebraic sets equations groups semigroups |
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