TL;DR
This paper investigates a specific class of semigroups characterized by the identity $aba=ab$, exploring their algebraic properties and structure.
Contribution
It provides a detailed analysis of left legal semigroups, a class defined by the identity $aba=ab$, which has not been extensively studied before.
Findings
Characterization of left legal semigroups
Structural properties derived from the identity
Classification results for these semigroups
Abstract
In this paper we study semigroups satisfying the identity .
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Taxonomy
Topicssemigroups and automata theory · Fuzzy and Soft Set Theory · Advanced Algebra and Logic