
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 finite algebraic structure is weakly equationally Noetherian.
прямые степени, конечные алгебраические системы, Noncommutative algebraic geometry, нетеровость по уравнениям, Algebraic structures, графы, finite algebraic structures, direct powers, equationally Noetherian algebraic structures, матроиды, matroids, Graphs and abstract algebra (groups, rings, fields, etc.)
прямые степени, конечные алгебраические системы, Noncommutative algebraic geometry, нетеровость по уравнениям, Algebraic structures, графы, finite algebraic structures, direct powers, equationally Noetherian algebraic structures, матроиды, matroids, Graphs and abstract algebra (groups, rings, fields, etc.)
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