Original scientific paper

On crossed modules in modified categories of interest

Enver Önder Uslu ; Department of Mathematics and Computer Science, Faculty of Science and Letters, Eskisehir Osmangazi University, Turkey
Selim Cętin ; Department of Mathematics and Computer Science, Faculty of Science and Letters, Eskisehir Osmangazi University, Turkey
Ahmet Faruk Arslan ; Department of Mathematics and Computer Science, Faculty of Science and Letters, Eskisehir Osmangazi University, Turkey

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 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.

Keywords

center; central extension; commutator; singularity

Hrčak ID:

176730

URI

https://hrcak.srce.hr/176730

Publication date:

4.4.2017.

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