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- W1489768807 abstract "Let $(A,mathfrak{m})$ be a Cohen-Macaulay local ring of dimension $d$ and let $I$ be an $mathfrak{m}$-primary ideal. Let $G$ be the associated graded ring of $A$ wrt $I$ and let $R = A[It,t^{-1}]$ be the extended Rees ring of $A$ with respect to $I$. Notice $t^{-1}$ is a non-zero divisor on $R$ and $R/t^{-1}R = G$. So we have textit{Bockstein operators} $beta^i colon H^i_{G_+}(G)(-1) rt H^{i+1}_{G_+}(G)$ for $i geq 0$. Since $beta^{i+1}(+1)circ beta^i = 0$ we have textit{Bockstein cohomology} modules $BH^i(G)$ for $i = 0,ldots,d$. In this paper we show that certain natural conditions on $I$ implies vanishing of some Bockstein cohomology modules." @default.
- W1489768807 created "2016-06-24" @default.
- W1489768807 creator A5049108479 @default.
- W1489768807 date "2013-08-29" @default.
- W1489768807 modified "2023-09-27" @default.
- W1489768807 title "Bockstein cohomology of associated graded rings" @default.
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