On n-Absorbing Submodules

Abstract

Let R be a commutative ring with a nonzero identity and M be a unitary R-module. Chin Pi. Lu studied prime submodules. Many authors have investigated some generalizations of prime ideals and submodules to 2-absorbing (n-absorbing) ideals and submodules. In this thesis we prove several results concerning 2-absorbing submodules and extended some of them to n-absorbing submodules. We also investigate the sufficient and necessary conditions for a submodule N to be (primary - classical - almost) 2-absorbing submodule of M.