Geodesic
FINITELY GENERATED GRADED MULTIPLICATION MODULES
Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 693-705

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.1017/S0017089511000279
Mots-clés : 13A02, 13C05, 13C13, 13C99 
ZAMANI, NASER. FINITELY GENERATED GRADED MULTIPLICATION MODULES. Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 693-705. doi: 10.1017/S0017089511000279
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