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- W4282813713 abstract "Let $(R,mathfrak{m})$ be a commutative noetherian local ring with $mathfrak{m}$-adic topology, $I$ an ideal of $R$. We investigate coartinianess of $mathrm{Ext}$ and $mathrm{Tor}$, show that the $R$-module $mathrm{Ext}_{R}^{i}(N,M)$ is $I$-coartinian if $M$ is a linearly compact $I$-coartinian $R$-module and $N$ is an $I$-cofinite $R$-module of dimension at most $1$; the $R$-module $mathrm{Tor}_{i}^{R}(N,M)$ is $I$-coartinian in the case $M$ is semi-discrete linearly compact $I$-coartinian and $N$ is finitely generated with dimension at most $2$." @default.
- W4282813713 created "2022-06-14" @default.
- W4282813713 creator A5050909682 @default.
- W4282813713 creator A5051475408 @default.
- W4282813713 date "2022-06-10" @default.
- W4282813713 modified "2023-09-28" @default.
- W4282813713 title "Coartinianess of extension and torsion functors" @default.
- W4282813713 doi "https://doi.org/10.48550/arxiv.2206.04961" @default.
- W4282813713 hasPublicationYear "2022" @default.
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