Let R be a ring, na fixed nonnegative integer and In (Fn) the class of all left (right) R-modules
of injective (flat) dimension at most n. A left R-module M (resp., right R-module F) is called n …

An exact sequence 0→ A→ B→ C→ 0 of left R-modules is called cyclically pure if for every
right ideal I of R, the sequence 0→(R/I)⊗ A→(R/I)⊗ B→(R/I)⊗ C→ 0 is exact. In this paper …

We call a right module weakly neat-flat if is surjective for any epimorphism and any simple
right ideal. A left module is called weakly absolutely s-pure if is monic, for any …

Let R be a ring with an identity element. We prove that R is right Kasch if and only if injective
hull of every simple right R-modules is neat-flat if and only if every absolutely pure right R …

Full article: When automorphism-coinvariant modules are quasi-projective Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Log in …

In this paper, we first define the notion of finitely-cosmall quotient (singly-cosmall quotient)
morphisms. Then we give a characterization of this new concept. We show that an …

We first prove that every countably presented module is a pure epimorphic image of a
countably generated pure-projective module, and by using this we show that if every …

Let $ R $ be a ring. A morphism $\alpha: X\rightarrow Y $ of left $ R $-modules is called a
finitely phantom morphism if for each morphism ${\beta: F\rightarrow X} $ with $ F $ finitely …

Self-injective and PF endomorphism rings Page 1 ISRAEL JOURNAL OF MATHEMATICS, Vol.
58, No. 3, 1987 SELF-INJECTIVE AND PF ENDOMORPHISM RINGS BY JL GARCiA …

In this paper, we examine the class of K-absolutely pure complexes. These are the
complexes which are right orthogonal in the homotopy category K (R) to the acyclic …