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- Title
A Hyperstructural Approach to Semisimplicity.
- Authors
Türkmen, Ergül; Nİşancı Türkmen, Burcu; Bordbar, Hashem
- Abstract
In this paper, we provide the basic properties of (semi)simple hypermodules. We show that if a hypermodule M is simple, then (E n d (M) , ·) is a group, where E n d (M) is the set of all normal endomorphisms of M. We prove that every simple hypermodule is normal projective with a zero singular subhypermodule. We also show that the class of semisimple hypermodules is closed under internal direct sums, factor hypermodules, and subhypermodules. In particular, we give a characterization of internal direct sums of subhypermodules of a hypermodule.
- Subjects
ENDOMORPHISMS
- Publication
Axioms (2075-1680), 2024, Vol 13, Issue 2, p81
- ISSN
2075-1680
- Publication type
Article
- DOI
10.3390/axioms13020081