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- W2079757972 abstract "Abstract Assume that R is a commutative Noetherian ring with non-zero identity, 𝔞 is an ideal of R , and X is an R -module. In this paper, we first study the finiteness of Betti numbers of local cohomology modules . Then we give some inequalities between the Betti numbers of X and those of its local cohomology modules. Finally, we present many upper bounds for the flat dimension of X in terms of the flat dimensions of its local cohomology modules and an upper bound for the flat dimension of in terms of the flat dimensions of the modules , and that of X ." @default.
- W2079757972 created "2016-06-24" @default.
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- W2079757972 date "2015-09-01" @default.
- W2079757972 modified "2023-10-18" @default.
- W2079757972 title "Betti Numbers and Flat Dimensions of Local Cohomology Modules" @default.
- W2079757972 doi "https://doi.org/10.4153/cmb-2015-042-7" @default.
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