On crossed modules in modified categories of interest

Enver Önder Uslu; Selim Çetin; Ahmet Faruk Arslan

Vol. 22 No. 1 (2017)

Regular Articles

On crossed modules in modified categories of interest

Published 2016-10-12

Enver Önder Uslu
Selim Çetin
Ahmet Faruk Arslan

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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.

Keywords

Center, Central Extension, Commutator, Singularity.

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