On Double Inverse Semigroups
Darien DeWolf, Dorette Pronk
TL;DR
This paper proves that in double inverse semigroups, the two binary operations must be identical, simplifying their structure and understanding in algebraic theory.
Contribution
It establishes that the two operations in double inverse semigroups are necessarily the same, clarifying their algebraic structure.
Findings
The two binary operations in double inverse semigroups coincide.
This result simplifies the understanding of double inverse semigroups.
It resolves a question posed by Kock (2007).
Abstract
We show that the two binary operations in double inverse semigroups, as considered by Kock [2007], necessarily coincide.
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Taxonomy
Topicssemigroups and automata theory · Advanced Algebra and Logic · Geometric and Algebraic Topology