This paper aims at studying the homotopy category of cotorsion flat left modules K (CotF-R)
K (CotF-R) over a ring R. We prove that if R is right coherent, then the homotopy category K …

Over the last few years, the study of complexes has become increasingly important. To date,
however, most of the research is scattered throughout the literature or available only as …

A morphism f: M→ N of left R-modules is called a phantom morphism if the induced
morphism for every (finitely presented) right R-module A. Similarly, a morphism g: M→ N of …

Let R be a commutative Noetherian ring with non-zero identity, FF a filtration of Spec (R)
Spec (R) which admits an R-module X, and C _R (F, X) CR (F, X) the Cousin complex for X …

For an associative ring R, let P be an R-module with S= EndR (P). C. Menini and A. Orsatti
posed the question of when the related functor HomR (P,−)(with left adjoint P⊗ S−) induces …

March 10, 2003 10:5 WSPC/171-JAA 00041 A SUBMODULE UNRELATED TO THE
CORRESPONDING FACTOR MODULE OVER A COMMUTATIVE RING 1. Intro Page 1 March …

The aim of this paper is to introduce the concept of right and left semidualizing adjoint pair of
functors and study its main properties. This concept generalizes the concept of …

In this article, we study the trace ideal of semidualizing modules. Also, we introduce two new
classes of rings, namely quasi nearly Gorenstein and weakly nearly Gorenstein, which are …

Let $\mathcal X $ be a subcategory of left $ S $-modules and $ _ {R} U_ {S} $ an $(R, S) $-
bimodule. As a generalization of an adjoint cotranspose, we introduce an adjoint $\mathcal …

Let S and R be rings and _SC_R be a semidualizing bimodule. We first give the definitions
of C-transpose and nC-torsionfree and give a criterion for a module A to be G_C-projective …