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arXiv · 2008.03296

On equations over direct powers of algebraic structures

A. Shevlyakov
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Abstract

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 a finite algebraic structure is weakly equationally Noetherian.

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A. Shevlyakov. 2020-08-05. On equations over direct powers of algebraic structures. https://arxiv.org/abs/2008.03296

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