2-absorbing $I$-prime and 2-absorbing $I$-second submodules

نویسندگان
Farshadifar, Faranak ID 1

1 Department of Mathematics, Farhangian University, Tehran, Iran

doi
10.22034/as.2019.1482
چکیده

Let $R$ be a commutative ring and let $I$ be an ideal of $R$. In this paper, we will introduce the notions of 2-absorbing $I$-prime and 2-absorbing $I$-second submodules of an $R$-module $M$ as a generalization of 2-absorbing and strongly 2-absorbing second submodules of $M$ and explore some basic properties of these classes of modules.

کلیدواژه‌ها
2-absorbing submodule, weakly 2-absorbing submodule, 2-absorbing $I$-prime submodule, 2-absorbing second submodule, 2-absorbing $I$-second submodule