Associated primes of formal local cohomology modules
Behruz Sadeqi

TL;DR
This paper investigates the finiteness of associated primes of formal local cohomology modules, establishing conditions under which the associated primes of a specific module are finite based on the support of earlier modules.
Contribution
It proves that finiteness of support for lower-degree formal local cohomology modules implies finiteness of associated primes at a specific degree, advancing understanding of their structure.
Findings
Finiteness of support implies finiteness of associated primes at a certain degree.
Provides conditions linking support and associated primes of formal local cohomology modules.
Enhances understanding of the structure of formal local cohomology in Noetherian rings.
Abstract
Let be an ideal of a commutative Noetherian ring and a finitely generated -module. In this paper we proved that if is finite for all , then so is .
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models
