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 …

We revisit a construction of wide subcategories going back to work of Ingalls and Thomas.
To a torsion pair in the category $ R\operatorname {-}\operatorname {mod} $ of finitely …

Full article: On Covers and Envelopes under Hom and Tensor Functors Skip to Main Content
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Let R and S be rings and SCR a semidualizing bimodule. We investigate the relative Tor
functors Tor i ℳ ℒ C (−,−) Tor_i^ML_C(-,-) defined via C-level resolutions, and these functors …

For the module category of a hereditary ring, the Ext-orthogonal pairs of subcategories are
studied. For each Ext-orthogonal pair that is generated by a single module, a 5-term exact …

Given modules M and N, M is said to be N-subprojective if for every epimorphism g: B→ N
and homomorphism f: M→ N, there exists a homomorphism h: M→ B such that gh= f. For a …

This review paper is concerned with modules in which all automorphisms (endomorphisms)
of submodules can be extended to endomorphisms of the entire module. We consider old …

By a well known theorem of K. Morita, any equivalence between full module categories over
rings R and S, are given by a bimodule RPS, such that RP is a finitely generated projective …

In this paper, first we give the definition of F-copartial morphisms with an additive exact
substructure F of an exact structure E in an additive category A. Then, we study many …

We extend the definition of a semidualizing module to general associative rings. This
enables us to define and study Auslander and Bass classes with respect to a semidualizing …