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.
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- Title Direct powers of algebraic structures and equations
- Headline Direct powers of algebraic structures and equations
- Publesher
Tomsk State University - Issue Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics 58
- Date:
- DOI 10.17223/20710410/58/4
Keywords
graphs, matroids, finite algebraic structures, direct powers, equationally Noetherian algebraic structuresAuthors
References
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Daniyarova E.Yu., Myasnikov A.G., and Remeslennikov V.N. Algebraic geometry over algebraic structures, III: Equationally noetherian property and compactness. Southern Asian Bull. Math., 2011, vol. 35, no. 1, pp. 35-68.
Shevlyakov A.N. and Shahryari M. Direct products, varieties, and compactness conditions. Groups Complexity Cryptology, 2017, vol. 9, no. 2, pp. 159-166.
Direct powers of algebraic structures and equations | Prikladnaya Diskretnaya Matematika - Applied Discrete Mathematics. 2022. № 58. DOI: 10.17223/20710410/58/4
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