Direct powers of algebraic structures and equations
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Published:2023
Issue:58
Volume:
Page:31-39
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ISSN:2071-0410
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Container-title:Prikladnaya Diskretnaya Matematika
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language:
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Short-container-title:Applied Discrete Mathematics
Author:
Shevlyakov Artyom N., ,
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 any finite algebraic structure is weakly equationally Noetherian.
Publisher
Tomsk State University
Subject
Applied Mathematics,Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Signal Processing,Theoretical Computer Science