Two versions of Nakayama lemma for multiplication modules

Reza Ameri

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-3

Abstract:

The aim of this note is to generalize the Nakayama lemma to a class of multiplication modules over commutative rings with identity. In this note, by considering the notion of multiplication modules and the product of submodules of them, we state and prove two versions of Nakayama lemma for such modules. In the first version we give some equivalent conditions for faithful finitely generated multiplication modules, and in the second version we give them for faithful multiplication modules with a minimal generating set.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:317039

DOI: 10.1155/S0161171204311282

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