Nearly 2-Absorbing Submodules And Related Concepts
DOI:
https://doi.org/10.25130/tjps.v23i9.822Abstract
Throughout this note R is commutative ring with identity, and X be a
left unitary R-module. A proper submodule K of an R-module X is called
nearly prime, if whenever implies that either
( ) or [ ( ) ]. This concept us to introduce the
concept of nearly prime submodule, where a proper submodule K of an
R-module X is called nearly 2-absorbing submodule, if wherever
, and then either ( ) or
( ) or [ ( ) ]. The aim of this paper is to study this
concept, and gives some of its basic properties, characterization and
examples. Furthermore, we study the relation of this concept with some
kind of submodules".
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