Bimultiplications and Annihilators of Crossed Modules in Associative Algebras
Journal of New Theory, sa.35, ss.72-90, 2021 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2021
- Dergi Adı: Journal of New Theory
- Sayfa Sayıları: ss.72-90
- Eskişehir Osmangazi Üniversitesi Adresli: Evet
Özet
In this paper, we present a generalization of the concept of the bimultiplication algebra by defining the bimultiplication of crossed modules in associative
algebras. Using this structure, we construct the actor of a crossed module in associative algebras, and we obtain annihilators of crossed modules as the kernel of a crossed
module morphism from a crossed module to its actor. Moreover, we construct a link
between this morphism and a crossed square, two-dimensional crossed module.