TY - JOUR ID - 1482 TI - 2-absorbing $I$-prime and 2-absorbing $I$-second submodules JO - Algebraic Structures and Their Applications JA - AS LA - en SN - 2382-9761 AU - Farshadifar, Faranak AD - Department of Mathematics, Farhangian University, Tehran, Iran Y1 - 2019 PY - 2019 VL - 6 IS - 2 SP - 47 EP - 55 KW - 2-absorbing submodule KW - weakly 2-absorbing submodule KW - 2-absorbing $I$-prime submodule KW - 2-absorbing second submodule KW - 2-absorbing $I$-second submodule DO - 10.22034/as.2019.1482 N2 - 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. UR - https://as.yazd.ac.ir/article_1482.html L1 - https://as.yazd.ac.ir/article_1482_f244bd463c9e275f3a71143c735b5c44.pdf ER -