Socle-Regular QTAG-Modules

Year 2014, Volume: 2 Issue: 2, 129 - 133, 01.08.2014

Fahad Sikander Ayazul Hasan Alveera Mehdi

Abstract

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

Socle-regular -modules

Abstract

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