Flatness and f-projectivity of torsion-free modules and injective modules

MF Jones - Advances in Non-Commutative Ring Theory …, 2006 - Springer
Let Rbe a ring with identity. Chase [5] has characterized the right coherent rings; he has
shown that arbitrary products of RR are flat if and only if finitely generated submodules of …

-Copartial Morphisms

B Kalebogaz - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
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 …

Flat-precover completing domains

H Amzil, D Bennis, JR García Rozas… - Quaestiones …, 2023 - Taylor & Francis
Recently, many authors have embraced the study of certain properties of modules such as
projectivity, injectivity and flatness from an alternative point of view. Rather than saying a …

Dual modules, f-projective modules and Π-coherence over trivial ring extensions

L Mao - Communications in Algebra, 2024 - Taylor & Francis
Abstract Let R⋉ M be a trivial extension of a ring R by an RR-bimodule M. We first describe
explicitly the structure of a dual module over R⋉ M. Then we characterize Mittag-Leffler …

Flat relative Mittag-Leffler modules and approximations

AB Yassine, J Trlifaj - arXiv preprint arXiv:2110.06792, 2021 - arxiv.org
The classes $\mathcal D _ {\mathcal Q} $ of flat relative Mittag-Leffler modules are
sandwiched between the class $\mathcal F\mathcal M $ of all flat (absolute) Mittag-Leffler …

Flat relative Mittag-Leffler modules and approximations

A Ben Yassine - 2024 - dspace.cuni.cz
The thesis presents the main results of our joint work with my supervisor on approximations
of modules, with a primary emphasis on the class of flat relative Mittag-Leffler modules …

On projectivity of finitely generated modules

Y Durğun, Şİ Kalir, AYİ Shibeshi - Communications in Algebra, 2023 - Taylor & Francis
In a recent paper of Holston, López-Permouth, Mastromatteo and Simental-Rodriguez, a ring
R is defined to have no subprojective middle class if the subprojectivity domain of any R …

相对于半对偶模的f-内射模

兰开阳, 卢博 - 《 山东大学学报(理学版)》, 2020 - lxbwk.njournal.sdu.edu.cn
相对于半对偶模的f-内射模 Page 1 山东大学学报(理学版)2020年8月第55卷第8期 E-mail:xblxb@sdu.edu.cn
Journal of Shandong University (Natural Science)ꎬ Vol.55ꎬ No.8ꎬ 2020 http:/ / lxbwk.njournal.sdu.edu.cn …

Precover completing domains and approximations

H Amzil, D Bennis, JRG Rozas… - Communications in …, 2023 - Taylor & Francis
In this paper, we introduce an X-precover completing domain X− 1 (L), with L being a class
of modules and not necessarily a single module, and then investigate when every module in …

When every finitely projective ideal is projective

N Mahdou, S Moussaoui, MAS Moutui - Indian Journal of Pure and Applied …, 2022 - Springer
This paper studies the class of rings in which every finitely projective ideal is projective (FPP-
ring for short). We examine the transfer of this property to various context of commutative ring …