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FINITELY GENERATED GRADED MULTIPLICATION MODULES

Published online by Cambridge University Press:  01 August 2011

NASER ZAMANI
NASER ZAMANI*
Affiliation:
Faculty of Science, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil, Iran e-mail: [email protected]
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Abstract

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Let R = ⊕i ∈ ℤRi be a ℤ-graded ring and M = ⊕i ∈ ℤMi be a graded R-module. Providing some results on graded multiplication modules, some equivalent conditions for which a finitely generated graded R-module to be graded multiplication will be given. We define generalised graded multiplication module and determine some of its certain graded prime submodules. It will be shown that any graded submodule of a finitely generated generalised graded multiplication R-module M has a kind of primary decomposition. Using this, we give a characterisation of graded primary submodules of M. These lead to a kind of characterisation of finitely generated generalised graded multiplication modules.

Keywords

13A0213C0513C1313C99
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 3 , September 2011 , pp. 693 - 705
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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