Let S and {iaR} be two associative rings, let SCR be a semidualizing (S, R)-bimodule. We
introduce and investigate properties of the totally reflexive module with respect to SCR and …

Let R and S be rings and RCS a semidualizing bimodule. We show that the supremum of the
C-projective dimensions of C-flat left R-modules is less than or equal to that for left R …

We establish a characterization of dualizing modules among semidualizing modules. Let $
R $ be a finite dimensional commutative Noetherian ring with identity and $ C $ a …

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 …

Independence of the Total Reflexivity Conditions for Modules Page 1 Algebras and
Representation Theory (2006) 9: 217–226 © Springer 2006 DOI: 10.1007/s10468-005-0559-5 …

The class of A-reflexive modules is investigated, where A is a bimodule over rings S and R.
Conditions are studied under which this class is closed under taking direct products or direct …

Let R be a commutative ring. We show that a finitely generated R-module M is reflexive
(equivalently, linearly compact) if and only if R/annR (M) is reflexive (equivalently, linearly …

We introduce and study" quasidualizing" modules over a commutative local noetherian ring
R. An artinian R-module T is quasidualizing if the homothety map [special characters …

An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …

A quasi-injective weakly co-Hopfian right module over a right Noetherian ring is
characterized. Those right semi-Artinian rings and right FBN rings over which completely …