RO  EN
IMCS/Publications/BASM/Issues/BASM n.2 (15), 1994/

Submodules determined by cohereditary radicals. (English)

Authors: Chokalau R. P.

Abstract

In this paper the submodules $N$ of module $M$ are investigated which have the following property: there exists a cohereditary radical $r$ in the category of left $R$-modules with $r(M) = N$. They are described by the equality $(N:M)M =N$. Some remarcable properties of submodules of this type are being proved such as: tranzitivity, sum and other.

Institutul de Matematică Academia de Ştiinţe a Moldovei
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