Quintasymptotic sequences over an ideal and quintasymptotic cograde
نویسندگان
چکیده مقاله:
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.
منابع مشابه
quintasymptotic sequences over an ideal and quintasymptotic cograde
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 una...
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عنوان ژورنال
دوره 40 شماره 4
صفحات 941- 959
تاریخ انتشار 2014-08-01
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