Let R be a commutative Noetherian ring and let C be a semidualizing R-module. It is shown
that a finitely generated R-module M with finite GC-dimension is C-reflexive if and only if M 𝔭 …

Let R be a commutative Noetherian ring. It is shown that the finitely generated R-module M
with finite Gorenstein dimension is reflexive if and only if M p is reflexive for p∈ Spec (R) …

Let C be a semidualizing module for a commutative ring R. In this paper, we study the
resulting modules of finite GC-projective dimension in Bass class, showing that they admit …

Let R be a left and right noetherian ring and M a finitely generated left Ä-module with Ext&
(Af, R)= 0 for i^ l. Is then M reflexive? This is a stronger version of the generalized Nakayama …

If M is a nonzero finitely generated module over a commutative Noetherian local ring R such
that M has finite injective dimension and finite Gorenstein dimension, then it follows from a …

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 …

A generalization of a theorem of Foxby Page 1 Arch. Math. 93 (2009), 123–127 c© 2009
Birkhäuser Verlag Basel/Switzerland 0003-889X/09/020123-5 published online August 6, 2009 …

Let R be a commutative Noetherian ring. The aim of this paper is studying the properties of
relative Gorenstein modules with respect to a dualizing module. It is shown that every …

Let SCR be a semidualizing bimodule with S left coherent and R right coherent. For a non-
negative integer n, it is shown that l. FP-id S (C)= r. FP-id R (C)≤ n if and only if every finitely …

Let R be a commutative Noetherian ring and let C be a semidualizing R-module. We prove a
result about the covering properties of the class of relative Gorenstein injective modules with …