(n − ۱, n)-weakly prime submodules in direct product of modules

Let n ≥ ۲ be a positive integer, R be a commutative ring with identity and M be a unitary R-module . In this paper we study the (n − ۱, n)-weakly prime submodules of direct product of modules. Also, we show that for some special cases, every proper submodule is (n − ۱, n)-weakly prime.

کلیدواژه ها:

Prime submodule ، Weakly prime submodule ، Quasi-local ring ، (n − ۱ ، n)-weakly prime submodule