Heaps and trusses
Mar\'ia Jos\'e Arroyo Paniagua, Alberto Facchini
TL;DR
This paper explores the algebraic structures of heaps and trusses by analyzing their commutators, idempotent endomorphisms, and semidirect-product decompositions to deepen understanding of their internal symmetries.
Contribution
It introduces new insights into the structure of heaps and trusses through the study of their commutators and decompositions, expanding algebraic theory.
Findings
Characterization of commutators in heaps and trusses
Identification of conditions for semidirect-product decompositions
New relationships between endomorphisms and algebraic structure
Abstract
We study commutators of congruences, idempotent endomorphisms and semidirect-product decompositions of heaps and trusses.
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Taxonomy
TopicsAdvanced Algebra and Logic · semigroups and automata theory · Fuzzy and Soft Set Theory