On Weakly Almost Generalized 2-Absorbing Sub-modules of Modules

Abstract

Let M be a module over a commutative ring R with non-zero identity. A proper sub-module N of M is called weakly almost generalized 2-absorbing (denoted by WAG2 -absorbing) sub-module, if for  and with  either  or  or  for some positive integers  and . We study the relation between WAG2 -absorbing sub-modules and primary, weak primary and weakly primary sub-modules. Also, we study the behavior of , when N is WAG2 -absorbing sub-module. Moreover, the WAG2 -absorbing sub-modules when  are characterized