Search Results

1 - 1 of 1 items

  • Author: Mohammad Fareed Ahmad x
Clear All Modify Search
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. For any ordinal ωαω 1 we prove that an α-large submodule L of an ω 1-module M is summable if and only if M is summable.

Open access