Электронная библиотека (репозиторий) Томского государственного университета
Shevlyakov, A. N.

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Add   Direct powers of algebraic structures and equations
Authors: Shevlyakov, A. N.
Source: Прикладная дискретная математика. 2022. № 58. С. 31-39
Type: статьи в журналах
Date: 2022
Description: 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 pow ... More
Add   Equations over direct powers of algebraic structures in relational languages
Authors: Shevlyakov, A. N.
Source: Прикладная дискретная математика. 2021. № 53. С. 5-11
Type: статьи в журналах
Date: 2021
Description: For a semigroup S (group G) we study relational equations and describe all semigroups S with equationally Noetherian direct powers. It follows that any group G has equationally Noetherian direct power ... More
Add   On irreducible algebraic sets over linearly ordered semilattices II
Authors: Shevlyakov, A. N.
Source: Прикладная дискретная математика. 2017. № 38. С. 49-56
Type: статьи в журналах
Date: 2017
Description: Equations over finite linearly ordered semilattices are studied. It is assumed that the order of a semilattice is not less than the number of variables in an equation. For any equation t(X) = s(X), we ... More
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