English

Hypersubtraction and semi-direct product

Category Theory 2026-02-09 v1

Abstract

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.

Keywords

Cite

@article{arxiv.2602.06651,
  title  = {Hypersubtraction and semi-direct product},
  author = {Dominique Bourn},
  journal= {arXiv preprint arXiv:2602.06651},
  year   = {2026}
}
R2 v1 2026-07-01T10:24:17.596Z