α-modules and generalized submodules

A QTAG-module M is an α-module, where α is a limit ordinal, if M/Hβ (M) is totally projective for every ordinal β < α. In the present paper α-modules are studied with the help of α-pure submodules, α-basic submodules, and α-large submodules. It is found that an α-closed α-module is an α-injective...

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Bibliographic Details
Main Authors: Rafiquddin, Hasan Ayazul, Ahmad Mohammad Fareed
Format: Article
Language:English
Published: Sciendo 2019-06-01
Series:Communications in Mathematics
Subjects:
Online Access:https://doi.org/10.2478/cm-2019-0002