A structural property of Adian inverse semigroups
Muhammad Inam, John Meakin, Robert Ruyle
TL;DR
This paper proves that inverse semigroups derived from Adian presentations possess the E-unitary property, revealing a significant structural characteristic of these algebraic objects.
Contribution
The paper establishes that inverse semigroups over Adian presentations are E-unitary, a novel structural insight in the theory of inverse semigroups.
Findings
Inverse semigroups over Adian presentations are E-unitary.
Structural property linking Adian presentations to E-unitarity.
Advances understanding of algebraic properties of inverse semigroups.
Abstract
We prove that an inverse semigroup over an Adian presentation is E-unitary.
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Taxonomy
Topicsadvanced mathematical theories · Mathematical Dynamics and Fractals · semigroups and automata theory