Localization at countably infinitely many prime ideals and applications
Kamal Bahmanpour, Pham Hung Quy
TL;DR
This paper introduces a technical lemma for localization at countably infinite prime ideals and applies it to study the finiteness of associated prime ideals in local cohomology modules.
Contribution
It provides a new lemma for localization at infinitely many primes and uses it to analyze associated primes in local cohomology.
Findings
Established conditions for finiteness of associated primes
Extended localization techniques to countably infinite primes
Applied results to local cohomology modules
Abstract
In this paper we present a technical lemma about localization at countable infinitely many prime ideals. We apply this lemma to get many results about the finiteness of associated prime ideals of local cohomology modules.
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