TL;DR
This paper explores the concept of semi-trusses, a generalization of truss distributive laws, focusing on their properties within cancellative and inverse semigroups.
Contribution
It introduces the notion of semi-trusses and analyzes their structure in the context of associative operations on semigroups.
Findings
Characterization of semi-trusses in cancellative semigroups
Extension of truss laws to inverse semigroups
New algebraic identities for semi-trusses
Abstract
A general or truss distributive laws between two associative operations on the same set are studied for cancellative and inverse semigroups.
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Taxonomy
TopicsAdvanced Algebra and Logic · semigroups and automata theory · Advanced Topics in Algebra