On crossed modules in modified categories of interest

Enver Önder Uslu, Selim Çetin, Ahmet Faruk Arslan


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.


Center, Central Extension, Commutator, Singularity.

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ISSN: 1331-0623 (Print), 1848-8013 (Online)