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A hyperstructural approach to semisimplicityErgül Türkmen,
Burcu Nİşancl Türkmen,
Hashem Bordbar, 2024, izvirni znanstveni članek
Opis: 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.
Ključne besede: direct sum, simple hypermodule, semisimple hypermodule
Objavljeno v RUNG: 31.01.2024; Ogledov: 415; Prenosov: 4
Celotno besedilo (328,98 KB)
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