A generalization of anti-homomorphisms
Category Theory
2023-03-16 v1
Abstract
We prove some nice properties of anti-homomorphisms, some of which are analogic to that of homomorphisms. Meanwhile, we develop a new kind of composition called -composition such that the -composition of two anti-homomorphisms is still an anti-homomorphism. Moreover, we develop a certain kind of categories called factorization categories, which generalize anti-homomorphisms and provide a general framework to study "anti" phenomenon. We deduce several results of anti-homomorphisms in great generality.
Cite
@article{arxiv.2303.08614,
title = {A generalization of anti-homomorphisms},
author = {Tianwei Liang},
journal= {arXiv preprint arXiv:2303.08614},
year = {2023}
}