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Document Type

Original Study

Abstract

Let R be a ring with identity. An R module W is called small quasi-Dedekind, (small quasi-D) if for each homomorphism h such that h is nonzero, then kerh is small in W. In this paper we introduce a new concept called Large- small quasi-Dedekind (L-small quasi-D) module which is a generalization of small quasi-Dedekind module.

Keywords

Small submodule, Large-small submodule, Quasi-Dedekind module, Small Quasi- Dedekind module, Large-small Quasi-Dedekind module

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