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Direct powers of algebraic structures and equations A. N. Shevlyakov

By: Shevlyakov, A. NMaterial type: ArticleArticleContent type: Текст Media type: электронный Other title: Прямые степени алгебраических систем и уравнения над ними [Parallel title]Subject(s): графы | матроиды | конечные алгебраические системы | прямые степени | нетеровость по уравнениямGenre/Form: статьи в журналах Online resources: Click here to access online In: Прикладная дискретная математика № 58. С. 31-39Abstract: We study systems of equations over graphs, posets and matroids. We give the criteria when a direct power of such algebraic structures is equationally Noetherian. Moreover, we prove that any direct power of any nite algebraic structure is weakly equationally Noetherian.
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We study systems of equations over graphs, posets and matroids. We give the criteria when a direct power of such algebraic structures is equationally Noetherian. Moreover, we prove that any direct power of any nite algebraic structure is weakly equationally Noetherian.

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