2 papers
math.CT2022
On semibiproducts of magmas and semigroups
Nelson Martins-Ferreira
A generalization to the categorical notion of biproduct, called semibiproduct, which in the case of groups covers classical semidirect products, has recently been analysed in the c…
math.CT2014
Internal monoids and groups in the category of commutative cancellative medial magmas
Jorge P. Fatelo, Nelson Martins-Ferreira
This article considers the category of commutative medial magmas with cancellation, a structure that generalizes midpoint algebras and commutative semigroups with cancellation. In…