On crossed modules in modified categories of interest
MATHEMATICAL COMMUNICATIONS, vol.22, no.1, pp.113-121, 2017 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 22 Issue: 1
- Publication Date: 2017
- Journal Name: MATHEMATICAL COMMUNICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.113-121
- Keywords: center, central extension, commutator, singularity, LIE-ALGEBRAS, INTERNAL CATEGORIES, CENTRAL EXTENSIONS, POISSON ALGEBRAS, OPERATIONS, ACTOR
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
We introduce some algebraic structures such as singularity, commutators and central extension in modified categories of interest. Additionally, we introduce the cats-objects and internal categories with their connection to crossed modules in these categories, which gives rise to unification of many notions about (pre)crossed modules in various algebras of categories.