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1.
A hyperstructural approach to semisimplicity
Ergül Türkmen, Burcu Nİşancl Türkmen, Hashem Bordbar, 2024, original scientific article

Abstract: In this paper, we provide the basic properties of (semi)simple hypermodules. We show that if a hypermodule M is simple, then (End(M), ·) is a group, where End(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.
Keywords: direct sum, simple hypermodule, semisimple hypermodule
Published in RUNG: 31.01.2024; Views: 304; Downloads: 4
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2.
About the normal projectivity and injectivity of krasner hypermodules
Hashem Bordbar, Irina Elena Cristea, 2021, original scientific article

Keywords: R-hypermodule, simple hypermodule, exact chain
Published in RUNG: 05.05.2021; Views: 1740; Downloads: 54
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