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Bimultiplications and Annihilators of Crossed Modules in Associative Algebras
2021
Journal:  
Journal of New Theory
Author:  
DOI:  
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.

Keywords:

null
2021
Journal:  
Journal of New Theory
Author:  
DOI:  
10.53570/jnt.905298
0
2021
Journal:  
Journal of New Theory
Author:  
DOI:  
10.53570/jnt.905298
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Journal of New Theory

Journal Type :   Uluslararası

Metrics
Article : 419
Cite : 155
2023 Impact : 0.014
Details
Journal of New Theory