We study modules whose endomorphism rings possess various forms of von Neumann
regularity. We characterize these “regularity” properties for several classes of modules …

Abelian groups whose endomorphism rings are von Neumann regular have been
extensively investigated in the literature. In this paper, we study modules whose …

Different and distinct notions of regularity for modules exist in the literature. When these
notions are restricted to commutative rings, they all coincide with the well-known von …

In this paper, we introduce the notion of abelian endoregular modules as those modules
whose endomorphism rings are abelian von Neumann regular. We characterize an abelian …

Jayaram and Tekir defined an R-module M, R is a commutative ring, to be “von Neumann
regular” if for each m∈ M, there exists an a∈ R such that R m= a M= a 2 M. Previously …

The aim of this note is to find those commutative rings over which an exact analogue of the
structure theory of injective modules over commutative noetherian rings holds for weak …

We characterize a ring over which every left module of finite length has an injective hull of
finite length. Using this, we show that finite normalizing extensions of such a ring also have …

A submodule A of a left module B (over an associative ring with 1) is pure if for any right
module F, the natural homomorphism F⊗ A→ F⊗ B is injective. A module C is pure-injective …

Modules with semiregular endomorphism rings × Close The Infona portal uses cookies, ie
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The problem of classifying properties of the endomorphism ring of a module in terms of
properties of the module is most naturally approached via a bijection between certain left or …