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- W2950872799 abstract "Let R be a Noetherian local ring with the maximal ideal m and dim R=1. In this paper, we shall prove that the module Ext^1_R(R/Q,R) does not vanish for every parameter ideal Q in R, if the embedding dimension v(R) of R is at most 4 and the ideal m^2 kills the 0th local cohomology module H_m^0(R). The assertion is no longer true unless v(R) leq 4. Counterexamples are given. We shall also discuss the relation between our counterexamples and a problem on modules of finite G-dimension." @default.
- W2950872799 created "2019-06-27" @default.
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- W2950872799 date "2007-01-06" @default.
- W2950872799 modified "2023-10-18" @default.
- W2950872799 title "On vanishing of certain Ext modules" @default.
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