Top local cohomology modules and Gorenstein injectivity with respect to a semidualizing module

M Salimi, E Tavasoli, S Yassemi - Archiv der Mathematik, 2012 - Springer
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 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 …

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 …

Tensor and torsion products of relative injective modules with respect to a semidualizing module

M Salimi, E Tavasoli, S Yassemi - Communications in Algebra, 2015 - Taylor & Francis
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 …

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 …

Categorical and homological aspects of module theory over commutative rings

WT Sanders - 2015 - kuscholarworks.ku.edu
The purpose of this work is to understand the structure of the subcategories of mod (R) and
the derived category D^ b (R) for a commutative Noetherian ring R. Special focus is given to …

[引用][C] STATEMENT OF RESEARCH

WT SANDERS