The structure of generalized inverse semigroups
Ganna Kudryavtseva, Mark V. Lawson
TL;DR
This paper explores the structure of right generalized inverse semigroups, showing they are characterized by free étale actions of inverse semigroups, and offers a tensor product perspective on Yamada's classical theorem.
Contribution
It establishes a new structural understanding of generalized inverse semigroups through free étale actions and connects it to tensor product interpretations.
Findings
Characterization of right generalized inverse semigroups via free étale actions
Tensor product interpretation of Yamada's structure theorem
New insights into the algebraic structure of inverse semigroups
Abstract
We prove that the structure of right generalized inverse semigroups is determined by free \'etale actions of inverse semigroups. This leads to a tensor product interpretation of Yamada's classical struture theorem for generalized inverse semigroups.
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Taxonomy
Topicssemigroups and automata theory · Fuzzy and Soft Set Theory · Geometric and Algebraic Topology