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.
Publié le : 2017-02-17
Classification:
Center, Central Extension, Commutator, Singularity.,
18D05, 17A30, 16U70
@article{mc1786,
author = {Uslu, Enver \"Onder and \c Cetin, Selim and Arslan, Ahmet Faruk},
title = {On crossed modules in modified categories of interest},
journal = {Mathematical Communications},
volume = {22},
number = {1},
year = {2017},
pages = { 103-121},
language = {eng},
url = {http://dml.mathdoc.fr/item/mc1786}
}
Uslu, Enver Önder; Çetin, Selim; Arslan, Ahmet Faruk. On crossed modules in modified categories of interest. Mathematical Communications, Tome 22 (2017) no. 1, pp. 103-121. http://gdmltest.u-ga.fr/item/mc1786/