Finite subsemigroups of free left regular bands
Artem N. Shevlyakov
TL;DR
This paper characterizes all finite subsemigroups within a free left regular band of infinite rank and explores their applications in algebraic geometry and model theory.
Contribution
It provides a complete description of finite subsemigroups in free left regular bands, a novel classification with implications for related mathematical fields.
Findings
Complete classification of finite subsemigroups
Applications in algebraic geometry
Applications in model theory
Abstract
We describe all finite subsemigroups of a free left regular band of infinite rank. Moreover, we show applications of this result in algebraic geometry and model theory.
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Taxonomy
TopicsAdvanced Topics in Algebra · Rings, Modules, and Algebras · semigroups and automata theory