Top local cohomology modules and Gorenstein injectivity with respect to a semidualizing module
Let (R, m) be a commutative Noetherian local ring of Krull dimension d, and let C be a
semidualizing R-module. In this paper, it is shown that if R is complete, then C is a dualizing …
semidualizing R-module. In this paper, it is shown that if R is complete, then C is a dualizing …
Tensor and torsion products of relative injective modules with respect to a semidualizing module
Let R be a commutative Cohen–Macaulay ring, and let C be a semidualizing module of R. In
this paper, we show that C is generically dualizing if and only if the tensor products of …
this paper, we show that C is generically dualizing if and only if the tensor products of …
Semidualizing modules and rings of invariants
W Sanders - Journal of Commutative Algebra, 2015 - JSTOR
SEMIDUALIZING MODULES AND RINGS OF INVARIANTS 1. Introduction. This paper is
concerned with the existence of nontrivial semidual Page 1 JOURNAL OF COMMUTATIVE …
concerned with the existence of nontrivial semidual Page 1 JOURNAL OF COMMUTATIVE …
Homological dimensions with respect to a semidualizing complex
J Totushek - 2015 - search.proquest.com
A fintitely generated R-module C is semidualizing if R= HomR (C, C) and [special charactes
omitted](C, C)= 0. In this dissertation we build off of Takahashi and White's P C-projective …
omitted](C, C)= 0. In this dissertation we build off of Takahashi and White's P C-projective …
Using semidualizing complexes to detect Gorenstein rings
S Sather-Wagstaff, J Totushek - Archiv der Mathematik, 2015 - Springer
A result of Foxby states that if there exists a complex with finite depth, finite flat dimension,
and finite injective dimension over a local ring R, then R is Gorenstein. In this paper we …
and finite injective dimension over a local ring R, then R is Gorenstein. In this paper we …