This volume provides a comprehensive introduction to module theory and the related part of
ring theory, including original results as well as the most recent work. It is a useful and …

Relative notions of flatness are introduced as a mean to gauge the extent of the flatness of
any given module. Every module is thus endowed with a flatness domain and, for every ring …

We introduce relative CS-Rickart objects in abelian categories, as common generalizations
of relative Rickart objects and extending objects. We study direct summands and (co) …

It is known that for noncommutative associative rings the one-sided version of (b) is no
longer equivalent to (a)(see [51), while the one-sided versions of (b) and (c) are still the …

In the category of submodules of associatively generated A-modules (=: A-mod4) as
introduced in [151 we may define flat, regular and finiteZy presented objects in a categorical …

Let $ R $ be a commutative ring with identity and let $ M $ be a unitary $ R $-module. In this
paper, among various results, we prove that if $ M $ is a cancellation $ R $-module and $ L …

HEREDITARY AND SEMIHEREDITARY REPRESENTATIONS OF QUIVERS 1. Introduction In
this paper, we are interested in hereditary and semi Page 1 Bull. Korean Math. Soc. 58 (2021) …

Motivated by the study of von Neumann regular skew groups as carried out by Alfaro, Ara
and del Rio in 1995 we investigate regular and biregular Hopf module algebras. If $ A $ is …

For a torsion radical, δ, we study various types of relative flatness and regularity. We obtain
conditions valid when every R-module is δ-flat, when every R-module is semi-δ-flat and …

The main purpose of this thesis is to study the properties which are opposites of absolute
pure and flat modules. A right module M is said to be test for flatness by subpurity (for short …