|
Theoretical Backgrounds of Applied Discrete Mathematics
Direct powers of algebraic structures and equations
A. Shevlyakovab a Sobolev Institute of Mathematics SB RAS, Omsk, Russia
b Dostoevsky Omsk State University, Omsk, Russia
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.
Keywords:
graphs, matroids, finite algebraic structures, direct powers, equationally Noetherian algebraic structures.
Citation:
A. Shevlyakov, “Direct powers of algebraic structures and equations”, Prikl. Diskr. Mat., 2022, no. 58, 31–39
Linking options:
https://www.mathnet.ru/eng/pdm783 https://www.mathnet.ru/eng/pdm/y2022/i4/p31
|
Statistics & downloads: |
Abstract page: | 76 | Full-text PDF : | 34 | References: | 20 |
|