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math.RA2012
Prime M-Ideals, M-Prime Submodules, M-Prime Radical and M-Baer's Lower Nilradical of Modules
John A. Beachy, Mahmood Behboodi, Faezeh Yazdi
Let M be a fixed left R-module. For a left R-module X, we introduce the notion of M-prime (resp. M-semiprime) submodule of X such that in the case M=R, which coincides with prime (…
math.RA2012★ 1 cited
On rings each of whose finitely generated modules is a direct sum of cyclic modules
Mahmood Behboodi, Gholamreza Behboodi Eskandari
In this paper we study (non-commutative) rings over which every finitely generated left module is a direct sum of cyclic modules (called left FGC-rings). The commutative case w…