On crossed modules in modified categories of interest


Uslu E. O., Cetin S., Arslan A. F.

MATHEMATICAL COMMUNICATIONS, vol.22, no.1, pp.103-119, 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.103-119
  • 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.