Bimultiplications and Annihilators of Crossed Modules in Associative Algebras

Ummahan EGE ARSLAN; Serdar HÜRMETLİ

doi:https://doi.org/10.53570/jnt.905298

Article Details

Bimultiplications and Annihilators of Crossed Modules in Associative Algebras

Authors:

Ummahan EGE ARSLAN | Serdar HÜRMETLİ

Publisher:

Tokat Gaziosmanpasa University

Main Topics:

Mathematics

Journal:

Journal of New Theory 2021 Issue 35, pp.72-90

Document Type:

Article

Publication Date:

6/2021

Document Language:

English

Document ID (Org No.):

2000490310

Frequency:

Quarterly

pISSN:

2149-1402

DOI:

https://doi.org/10.53570/jnt.905298

Abstract:

 

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.

Article Details

Bimultiplications and Annihilators of Crossed Modules in Associative Algebras

Authors: Ummahan EGE ARSLAN | Serdar HÜRMETLİ

Publisher: Tokat Gaziosmanpasa University

Main Topics: Mathematics

Journal: Journal of New Theory 2021 Issue 35, pp.72-90

Document Type: Article

Publication Date: 6/2021

Document Language: English

Document ID (Org No.): 2000490310

Frequency: Quarterly

pISSN: 2149-1402

DOI: https://doi.org/10.53570/jnt.905298

Issues

Authors:

Ummahan EGE ARSLAN | Serdar HÜRMETLİ

Publisher:

Tokat Gaziosmanpasa University

Main Topics:

Mathematics

Journal:

Journal of New Theory 2021 Issue 35, pp.72-90

Document Type:

Article

Publication Date:

6/2021

Document Language:

English

Document ID (Org No.):

2000490310

Frequency:

Quarterly

pISSN:

2149-1402

DOI:

https://doi.org/10.53570/jnt.905298