Abstract

Let R be a commutative ring, with a unity 1 not equal to 0 and M a unitary left R-module. In this paper we give some properties of an FGS-module. After that we give others important characterizations. Indeed, we first show that M is a local FGS-module if and only if it is of finite representation type. Secondly, we show that M is a prime FGS-module if and only if it is a serial type module and of finite length if and only if it is a finite representation type module.

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