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학술저널

FINITELY GENERATED gr-MULTIPLICATION MODULES

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In this paper, we investigate when gr-multiplication modules are ¯nitely generated and show that if M is a ¯nitely generated gr-multiplication R-module then there is a lattice iso-morphism between the lattice of all graded ideals I of R containing ann(M) and the lattice of all graded submodules of M.

1. Introduction

2. Main results

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