Let R be a ring. A left R-module M (resp., right R-module N) is called weak injective (resp.,
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …

We use the concept of dual Goldie dimension and a characterization of semi-local rings due
to Camps and Dicks (1993) to find some classes of modules with semi-local endomorphism …

For a ring R, we prove that all left R-modules have weak injective covers and weak injective
preenvelopes. Then we characterize the right weak injective dimension of modules in terms …

Let $ R $ be a ring and $ S $ a multiplicative subset of $ R $. In this note, we study the
localization of $ S $-injective modules and $ u $-$ S $-injective modules under $ S …

In this paper, we introduce the concept of nonnil-FP-injective dimension for both modules
and rings. We explore the characterization of strongly ϕ-rings that have a nonnil-FP-injective …

In this paper, we define a class of relative derived functors in terms of left or right weak flat
resolutions to compute the weak flat dimension of modules. Moreover, we investigate two …

A morphism f: M→ N of left R-modules is called an n-phantom morphism if the induced
morphism Tor n R (A, f)= 0 for every (finitely presented) right R-module A. Analogously, a …

In this paper, we will introduce and study the homological dimensions defined in the context
of commutative rings with prime nilradical. So all rings considered in this paper are …

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A module is called nilpotent-invariant if it is invariant under any nilpotent endomorphism of
its injective envelope [MT Koşan and TC Quynh, Nilpotent-invaraint modules and rings …