Dual CS-Rickart modules over Dedekind domains

R Tribak - Algebras and Representation Theory, 2020 - Springer
… We study d-CS-Rickart modules (ie modules M such that for every … CS-Rickart modules
over discrete valuation rings is fully determined. It is also shown that for a d-CS-Rickart R-module

[PDF][PDF] The notion of Rickart module was introduced in [11] as a generalization of the rings with the same name. A module M is N-Rickart if Ker ϕ is a direct summand

M MEDINA-BÁRCENAS - medinabarcenas.com
… the module need not to be a (semiprime) Goldie module. I would like to find the conditions
which characterize those modules … On the other hand, since we are working with modules, it is …

An approach to extending modules via homomorphisms

T Amouzegar - Algebraic Structures and Their Applications, 2022 - as.yazd.ac.ir
… Two papers [1] and [3] generalized the ACS-ring concept to modules in the same ways. In
[1], the authors used the terminology “ CS-Rickart” for this generalization. Unfortunately, at the …

Modules Whose Endomorphism Rings are Right Rickart

T Abdelwhab, X Yang - Asian Research Journal of …, 2019 - asian.openbookpublished.com
module, investigate some basic properties of these modules. In section 2, we introduce the
notion of R-endoRickart module, investigate some basic properties of these modulesmodules

Purely Rickart and dual purely Rickart objects in Grothendieck categories

SE Toksoy - Mediterranean Journal of Mathematics, 2021 - Springer
… notion of purely Baer modules and purely Rickart modules were introduced and studied by
Atani, Khoramdel, and Pishhesari [5]. The notions of (dual) purely Rickart modules were also …

[HTML][HTML] On a question concerning D4-modules

D Soumitra - Вестник Санкт-Петербургского университета …, 2021 - cyberleninka.ru
… We show that M is a D4-module if and only if for each i ∈ I the module Mi is a D4-… We show
that M is a D4-module if and only if for each i GI the module Mi is a D4-module. This settles an …

Strongly CS-Rickart and dual strongly CS-Rickart objects in abelian categories

S Crivei, SM Radu - Communications in Algebra, 2022 - Taylor & Francis
… -CS-Rickart if and only if N i is (dual) strongly M-CS-Rickart for … -CS-Rickart if and only if M i
is (dual) strongly self-CS-Rickart … ) strongly self-CS-Rickart modules over a Dedekind domain. …

-Endoregular lattices

M Medina-Bárcenas, H Rincón-Mejía - arXiv preprint arXiv:2306.07360, 2023 - arxiv.org
… Also, once the notion of Rickart module was introduced [8], its dual naturally emerged [7]. In
… regularity to modules, we can find different approaches [6,12,13]. In [12] an R-module M is …

Transfer of CS-Rickart and dual CS-Rickart properties via functors between abelian categories

S Crivei, SM Radu - Quaestiones Mathematicae, 2022 - Taylor & Francis
… Let us also note that CS-Rickart objects and dual CS-Rickart objects extend the moduletheoretic
concepts of CS-Rickart and dual CS-Rickart modules studied by Abyzov, Nhan and …

CS-Rickart and dual CS-Rickart objects in abelian categories

S Crivei, SM Radu - 2022 - projecteuclid.org
… so-called CS-Rickart modules, which are defined as modules M such that … CS-Rickart
modules may be viewed as playing the role of extending modules in the world of Rickart modules