Displaying similar documents to “Filtrations, Stable Clifford Theory and Group-Graded Rings and Modules.”

Induced modules of strongly group-graded algebras

Th. Theohari-Apostolidi, H. Vavatsoulas (2007)

Colloquium Mathematicae

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Various results on the induced representations of group rings are extended to modules over strongly group-graded rings. In particular, a proof of the graded version of Mackey's theorem is given.

On graded P-compactly packed modules

Khaldoun Al-Zoubi, Imad Jaradat, Mohammed Al-Dolat (2015)

Open Mathematics

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Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concept of graded P-compactly packed modules and we give a number of results concerning such graded modules. In fact, our objective is to investigate graded P-compactly packed modules and examine in particular when graded R-modules are P-compactly packed. Finally, we introduce the concept of graded finitely P-compactly packed modules and give a number of its...