Hypersubtraction and semi-direct product

Fuente: arXiv
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Autor principal: Bourn, Dominique
Formato: Preprint
Publicado: 2026
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author Bourn, Dominique
author_facet Bourn, Dominique
contents In this article, we introduce an extrinsic approach to the notion of semi-direct product, an intrinsic one (namely inside the category Gp of group itself) having been already done elsewhere. This will led us to focus our attention on two algebraic structures (hypersubtraction and hyper-Slominski settings) which will allow us to characterize this extrinsic explicitation.
format Preprint
id arxiv_https___arxiv_org_abs_2602_06651
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Hypersubtraction and semi-direct product
Bourn, Dominique
Category Theory
08A05, 18E13, 20E34, 20J15
In this article, we introduce an extrinsic approach to the notion of semi-direct product, an intrinsic one (namely inside the category Gp of group itself) having been already done elsewhere. This will led us to focus our attention on two algebraic structures (hypersubtraction and hyper-Slominski settings) which will allow us to characterize this extrinsic explicitation.
title Hypersubtraction and semi-direct product
topic Category Theory
08A05, 18E13, 20E34, 20J15
url https://arxiv.org/abs/2602.06651