A Study of Quasi-Gorenstein Rings
Ehsan Tavanfar, Massoud Tousi
TL;DR
This paper explores properties of quasi-Gorenstein rings, extending known Gorenstein ring properties, and provides explicit descriptions of certain local cohomology module primes.
Contribution
It introduces new properties of quasi-Gorenstein rings and describes the attach prime ideals of specific local cohomology modules.
Findings
Extended properties of quasi-Gorenstein rings
Explicit descriptions of local cohomology prime ideals
Connections to known Gorenstein ring properties
Abstract
In this paper several quasi-Gorenstein counterparts to some known properties of Gorenstein rings are given. We, furthermore, give an explicit description of the attach prime ideals of certain local cohomology modules.
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