Coprime Submodules

Abstract

Let R be a commutative ring with unity and let M be a unitary R-module. Let N be a proper submodule of M, N is called a coprime submodule if   is a coprime R-module, where   is a coprime R-module if for any r  R, either O      r or     r . In this paper we study coprime submodules and give many properties related with this concept.

Keywords

• Coprime submodules, second submodule, second (coprime) module, secondary module.