Direct products, varieties, and compactness conditions
M. Shahryari, A. N. Shevlyakov
TL;DR
This paper investigates the properties of equationally Noetherian varieties in groups, rings, and monoids, focusing on their direct powers and the conditions under which they are compact, contributing to the understanding of algebraic structure behaviors.
Contribution
It characterizes equationally Noetherian direct powers in groups, rings, and monoids, providing new insights into their algebraic and compactness properties.
Findings
Characterization of equationally Noetherian varieties
Description of equationally Noetherian direct powers
Insights into compactness conditions in algebraic structures
Abstract
We study equationally Noetherian varieties of groups, rings and monoids. Moreover, we describe equationally Noetherian direct powers for these algebraic structures.
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Taxonomy
TopicsAdvanced Algebra and Logic · Fuzzy and Soft Set Theory · Rings, Modules, and Algebras