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- W2265760998 abstract "Let $M$ be a module over a commutative ring $R.$ A proper submodule $N$ of $M$ is called weakly $2$-absorbing, if for $r,sin R$ and $xin M$ with $0neq rsxin N,$ either $rsin (N:M)$ or $rxin N$ or $sxin N.$ We study the behavior of $(N:M)$ and $sqrt{(N:M)},$ when $N$ is weakly $2$-absorbing. The weakly $2$-absorbing submodules when $R=R_1oplus R_2$ are characterized. Moreover we characterize the faithful modules whose proper submodules are all weakly $2$-absorbing." @default.
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- W2265760998 date "2016-01-01" @default.
- W2265760998 modified "2023-09-25" @default.
- W2265760998 title "Weakly $2$-absorbing submodules of modules" @default.
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- W2265760998 doi "https://doi.org/10.3906/mat-1501-55" @default.
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