Internal monoids and groups in the category of commutative cancellative medial magmas

Jorge P. Fatelo; Nelson Martins-Ferreira

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arXiv · 1407.7435

Internal monoids and groups in the category of commutative cancellative medial magmas

Jorge P. Fatelo·Nelson Martins-Ferreira

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Abstract

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.

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BibTeX RIS

Jorge P. Fatelo, Nelson Martins-Ferreira. 2014-07-28. Internal monoids and groups in the category of commutative cancellative medial magmas. https://arxiv.org/abs/1407.7435

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