Representability of actions in the category of (Pre)crossed modules in Leibniz algebras

Atik, M.; Aytekin, A.; Uslu, E.

doi:10.1080/00927872.2016.1226853

Representability of actions in the category of (Pre)crossed modules in Leibniz algebras

Atik M., Aytekin A., Uslu E. O.

COMMUNICATIONS IN ALGEBRA, cilt.45, sa.5, ss.1825-1841, 2017 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 45 Sayı: 5
Basım Tarihi: 2017
Doi Numarası: 10.1080/00927872.2016.1226853
Dergi Adı: COMMUNICATIONS IN ALGEBRA
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1825-1841
Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

We investigate the representability of actions in the category of (pre)crossed modules in Leibniz algebras. For this, we construct an actor of a (pre)cat(1)-Leibniz algebra and then by using the natural equivalence of the categories of (pre)cat(1)-Leibniz algebras and that of (pre)crossed modules, we construct the split extension classifier of the corresponding (pre)crossed module.