A New Generalization Of Extending Modules Via Δ-Small Sub modules

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Luqman Mahmood Yaseen Zebari

Abstract

In this paper, I introduce a new generalization of essential submodules, namely δ-
essential submodules. A submodule A of an R- module M is called δ-essential in M
provided that for every nonzero δ-small submodule B of M has a nonzero intersection
with A. Appling this concept, I define a generalization of extending module entitled δ-
extending moduels and investigate their some general properties

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