On Crossed Modules in Modified Categories of Interest
Category Theory
2016-02-17 v1 Rings and Algebras
Abstract
We introduce some algebraic structures such as singularity, commutators and central extension in modified categories of interest. Additionally, we introduce the cat-objects with their connection to crossed modules in these categories which gives rise to unify many notions about (pre)crossed modules in various algebras of categories.
Cite
@article{arxiv.1602.05156,
title = {On Crossed Modules in Modified Categories of Interest},
author = {Ahmet Faruk Aslan and Selim Çetin and Enver Önder Uslu},
journal= {arXiv preprint arXiv:1602.05156},
year = {2016}
}
Comments
Preliminary version, 19 pages