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- Title
FINITELY GENERATED GRADED MULTIPLICATION MODULES.
- Authors
ZAMANI, NASER
- Abstract
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.
- Subjects
MODULES (Algebra); MULTIPLICATION; GENERALIZATION; MATHEMATICAL decomposition; FINITE, The; STATISTICAL hypothesis testing; INTEGRAL domains
- Publication
Glasgow Mathematical Journal, 2011, Vol 53, Issue 3, p693
- ISSN
0017-0895
- Publication type
Article
- DOI
10.1017/S0017089511000279