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- W2949402753 abstract "Let $I$ denote an ideal of a Noetherian ring $R$. The purpose of this article is to introduce the concepts of quintasymptotic sequences over $I$ and quintasymptotic cograde of $I$, and it is shown that they play a role analogous to quintessential sequences over $I$ and quintessential cograde of $I$, given in cite{Ra1}. Also, we show that, if $R$ is local, then the quintasymptotic cograde of $I$ is unambiguously defined and behaves well when passing to certain related local rings. Finally, we use this cograde to characterize of two classes of local rings." @default.
- W2949402753 created "2019-06-27" @default.
- W2949402753 creator A5073489672 @default.
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- W2949402753 date "2013-08-28" @default.
- W2949402753 modified "2023-09-27" @default.
- W2949402753 title "Quintasymptotic sequences over an ideal and quintasymptotic cograde" @default.
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