Bimultiplications and Annihilators of Crossed Modules in Associative Algebras

EGE ARSLAN U., HÜRMETLİ S.

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.