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- W4300781696 abstract "For a horizontally linked module, over a commutative semiperfect Noetherian ring $R$, the connections of its invariants reduced grade, Gorenstein dimension and depth are studied. It is shown that under certain conditions the depth of a horizontally linked module is equal to the reduced grade of its linked module. The connection of the Serre condition $(S_n)$ on an $R$--module of finite Gorenstein dimension with the vanishing of the local cohomology groups of its linked module is discussed." @default.
- W4300781696 created "2022-10-04" @default.
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- W4300781696 date "2011-09-29" @default.
- W4300781696 modified "2023-09-25" @default.
- W4300781696 title "Linkage of finite Gorenstein dimension modules" @default.
- W4300781696 doi "https://doi.org/10.48550/arxiv.1109.6528" @default.
- W4300781696 hasPublicationYear "2011" @default.
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