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- W2022961293 abstract "Let b 1 , …, b s be an asymptotic sequence over an ideal I in a Noetherian ring R and let B i = ( b 1 , …, b i ) R . Then it is shown that certain sequences closely related to these elements are asymptotic sequences over R ( R , B i ), over tI R ( R , I ) and over u R ( R , I ) where R ( R , J ) is the Rees ring of R with respect to the ideal J . These results then imply that certain other sequences are asymptotic sequences over the corresponding ideals in the associated graded rings and in the monadic transformation rings. As an application of the results, it is shown that if R is local, then each permutation of b 1 , …, b s is an asymptotic sequence over I and that b 1 , …, b s are an asymptotic sequence in R ." @default.
- W2022961293 created "2016-06-24" @default.
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- W2022961293 date "1984-07-01" @default.
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- W2022961293 title "Asymptotic sequences and rees rings" @default.
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- W2022961293 doi "https://doi.org/10.1016/0021-8693(84)90235-7" @default.
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