quintasymptotic sequences over an ideal and quintasymptotic cograde
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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 to show that they play a role analogous to quintessential sequences over $i$ and quintessential cograde of $i$. 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. also, we use this cograde to characterize two classes of local rings.
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Journal title:
bulletin of the iranian mathematical societyPublisher: iranian mathematical society (ims)
ISSN 1017-060X
volume 40
issue 4 2014
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