On Crossed Modules in Modified Categories of Interest
Abstract
We introduce some algebraic structures such as singularity, commutators and central extension in modified categories of interest. Additionally, we introduce the cat$^{1}$-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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2016
- DOI:
- 10.48550/arXiv.1602.05156
- arXiv:
- arXiv:1602.05156
- Bibcode:
- 2016arXiv160205156F
- Keywords:
-
- Mathematics - Category Theory;
- Mathematics - Rings and Algebras
- E-Print:
- Preliminary version, 19 pages