2-quasi-prime submodules
Keywords:
prime submodule, 2-prime submodule, quasi-prime submodule, 2-quasi-prime submoduleAbstract
Let R be a commutative ring with identity, and W be an R-module. In This paper introduces the notion of 2-quasi prime submodules as a generalization of quasi-prime submodules, where a proper submodule K of module W over a ring R is said to be 2-quasi-prime if whenever , and then either or . We prove many properties for this kind of submodules such as if K is a submodule of module W over a ring R, then K is 2-quasi prime submodule if and only if is 2-prime ideal for all
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