Nearly 2-Absorbing Submodules And Related Concepts

Abstract

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".

http://dx.doi.org/10.25130/tjps.23.2018.158