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 …

On Baer filters of bounded distributive lattices 1. Introduction Page 1 Quasigroups and Related
Systems 32 (2024), 1 - 20 https://doi.org/10.56415/qrs.v32.01 On Baer filters of bounded …

In this paper, we introduce and study the class of rings in which every ideal consisting
entirely of zero divisors is a d-ideal, considered as a generalization of strongly duo rings …

Let R be a commutative ring and M be an R-module. A submodule N of M is called a d-
submodule ( resp., an fd-submodule ) if \ann_R(m)⊆\ann_R(m') ( resp …

First, we introduce and investigate the class of eliminator submodules. The order of this
class is as follows: annihilator [1]=⇒ eliminator=⇒ annihilator-like [2],[3]=⇒ fully invariant. In …

Let R be a commutative ring. An ideal I of R is called ad-ideal (fd-ideal) provided that for
each a∈ I (finite subset F of I) and b∈ R, Ann (a)⊆ Ann (b)(Ann (F)⊆ Ann (b)) implies that …

In this dissertation, we study the relationships between the notions of a morphic element and
a morphic ring or module on one hand and reduced and regular rings or modules on the …

In [10], for a class G of subgroups of an additive group, we investigated G-organized additive
groups and we presented some applications. In this paper, for a class F of subgroups, we …

Let R be a commutative ring. An R-module M is called co-multiplication provided that
foreach submodule N of M there exists an ideal I of R such that N=(0: I). In this paper …

In this paper we extend the concepts of two sided ideal and right quasi-duo ring. These
ideals and rings are called totally fully invariant and right strongly quasi-duo, respectively …