Abstract

Let $R$ be a commutative ring with identity, $I$ an ideal of $R$, and $M$ be an $R$-module. In this paper, we will introduce the concept of $I$-second submodules of $M$ as a generalization of second submodules of $M$ and obtain some related results.

Keywords: Second submodule; weak second submodule; $I$-prime ideal; $I$-second submodule.

MSC: 13C13, 13C99

Pages:  58$-$65     

Volume  72 ,  Issue  1 ,  2020