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- W3116921471 abstract "Let R be a commutative ring with identity and n a positive integer greater than 1. In this paper, we introduce the concept of semi-n-absorbing submodules. A proper submodule N of an R-module M is called a semi-n-absorbing submodule of M if whenever a in R, x in M and a^nx in N then ax in N ora^n in (N :R M). A number of results concerning semi-n-absorbing submodulesand examples of them are given. It is shown that if N is a semi-n-absorbing submodule of M and F is a flat R-module such that F otimes N is proper in F otimes M then F otimes N is semi-n-absorbing in F otimes M. We show that the converse holds when F is faithfully flat." @default.
- W3116921471 created "2021-01-05" @default.
- W3116921471 creator A5040053682 @default.
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- W3116921471 date "2019-12-04" @default.
- W3116921471 modified "2023-09-26" @default.
- W3116921471 title "ON SEMI-n-ABSORBING SUBMODULES" @default.
- W3116921471 doi "https://doi.org/10.30495/jme.v15i0.1244" @default.
- W3116921471 hasPublicationYear "2019" @default.
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