A module M is called dual-square-free (DSF) if M has no proper submodules A and B with
M= A+ B and M/A≅ M/B. The class of DSF-modules is closed under direct summands and …

Full article: Gorenstein Right Derived Functors of − ⊗ −with Respect to Semidualizing
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

SEMIDUALIZING MODULES AND TRIVIAL RING EXTENSIONS Lixin Mao Abstract 1.
Introduction Throughout this paper, R is a commutative a Page 1 L. MAO KODAI MATH. J. 47 …

A ring R is called left P-coherent in case each principal left ideal of R is finitely presented. A
left R-module M (resp. right R-module N) is called D-injective (resp. D-flat) if Ext1 (G, M)= 0 …

In this paper, we introduce the concept of NN-torsion-free modules (respectively, NN-
injective modules) as a generalization of nonnil-torsion-free modules (respectively, injective …

Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, by using
the classes 𝒫 C and ℐ C, we extend the notions of perfect and coperfect modules introduced …

Let R be a ring, na fixed nonnegative integer and F n the class of all left R-modules of flat
dimension at most n. A left R-module M is called n-copure projective if Ext R 1 (M, F)= 0 for …

The classes of FP-injective and weakly quasi-Frobenius rings are investigated. The
properties of both classes of rings are closely related to the embedding of finitely presented …

Given modules M and A, M is said to be A-RD-subinjective if for every RD-extension B of A,
every f∈ Hom (A, M) extends to Hom (B, M). For a module M, the RD-subinjectivity domain …

Let R be a ring. For two fixed positive integers m and n, a right R-module M is called (m, n)-
injective in case every right R-homomorphism from an n-generated submodule of Rm to M …