2014/07/28 by J. P. Fatelo, Jorge P. Fatelo, Fatelo, Jorge P. +2 · 2 citations
Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Category Theory (math.CT) #FOS: Mathematics #math.CT
paper · pdf · doi:10.48550/arxiv.1407.7435
arxiv created 2014/07/28 · openalex publication_date 2014/07/28 · arxiv updated 2014/07/29 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28
This article considers the category of commutative medial magmas with cancellation, a structure that generalizes midpoint algebras and commutative semigroups with cancellation. In this category each object admits at most one internal monoid structure for any given unit. Conditions for the existence of internal monoids and internal groups, as well as conditions under which an internal reflexive relation is a congruence, are studied.