S-COPURE SUBMODULES OF A MODULE

چکیده مقاله

Let R be a commutative ring with identity, S be a multiplicatively closed subset of R, and M be an R-module. The aim of this paper is to introduce the notion of S-copure submodules and investigate some properties of this class of modules. We say that a submodule N of M is S-copure if there exists an s ∈ S such that s(N: _M I) ⊆ N +(0: _M I) for every ideal I of R. © 2023 Miskolc University Press