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Paper detail

Free Hom-groups, Hom-rings and Semisimple modules

The purpose of this paper is to introduce and study a Hom-type generalization of rings. We provide their basic properties and and some key constructions. Furthermore, we consider modules over Hom-rings and characterize the category of simple modules and simple Hom-rings. In addition, we extend some classical results and concepts of groups to Hom-groups. We construct free regular Hom-group using Super-Leaf weighted trees and discuss Normal Hom-subgroups, abelianization of regular Hom-group, universality of tensor product of Hom-groups and simple Hom-groups.

preprint2021arXivOpen access
Imed BasdouriSami ChouaibiAbdenacer MakhloufEsmael Peyghan
math.GRmath.RA
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Imed BasdouriSami ChouaibiAbdenacer MakhloufEsmael Peyghan

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