Different Characterizations of Large Submodules of QTAG-Modules

Fahad Sikander, Alveera Mehdi and Sabah A. R. K. Naji

Journal of Mathematics, 2017, vol. 2017, 1-6

Abstract:

A 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. The study of large submodules and its fascinating properties makes the theory of QTAG-modules more interesting. A fully invariant submodule of is large in if , for every basic submodule of The impetus of these efforts lies in the fact that the rings are almost restriction-free. This motivates us to find the necessary and sufficient conditions for a submodule of a QTAG-module to be large and characterize them. Also, we investigate some properties of large submodules shared by -modules, summable modules, -summable modules, and so on.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2496246

DOI: 10.1155/2017/2496246

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