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- W4315588266 abstract "In this note, we prove that a $w$-module $M$ is $w$-Artinian if and only if it is $w$-cofinitely generated and for every prime $w$-ideal $mathfrak{p}$ of $R$ with $(0:_RM)subseteq mathfrak{p}$, there exists a $w$-submodule $N^mathfrak{p}$ of $M$ such that $(M/N^mathfrak{p})_w$ is $w$-cofinitely generated and $(M[mathfrak{p}])_wsubseteq N^mathfrak{p} subseteq (0:_Mmathfrak{p})$, where $M[mathfrak{p}]=bigcaplimits_{sin R setminus mathfrak{p}}s(0:_Mmathfrak{p}).$ Besides, we show that the $w$-operations are semi-star operations rather than star operations in general." @default.
- W4315588266 created "2023-01-11" @default.
- W4315588266 creator A5082846858 @default.
- W4315588266 date "2023-01-06" @default.
- W4315588266 modified "2023-10-18" @default.
- W4315588266 title "A note on a Cohen-type theorem for $w$-Artinian modules" @default.
- W4315588266 doi "https://doi.org/10.48550/arxiv.2301.02772" @default.
- W4315588266 hasPublicationYear "2023" @default.
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