Fahad SİKANDER, Ayazul HASAN, Alveera MEHDİ

Socle-regular -modules

ISSN: 2147-5520
Başlangıç: 2015
Yayıncı: Biska Bilişim

Socle-Regular QTAG-Modules

A right module over an associative ring with unity is a -module if every finitely generated submodule of any homomorphic image of is a direct sum of uniserial modules. In this paper we focus our attention to the socles of fully invariant submodules and introduce a new class of modules, which we term socle-regular -modules. This class is shown to be large and strictly contains the class of fully transitive modules. Also, here we investigated some basic properties of such modules

Keywords:

module transitive modules, fully invariant submodules, socles,

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