Max-projective modules

Y Alagöz, E Büyükaşık - Journal of Algebra and its Applications, 2021 - World Scientific
Weakening the notion of R-projectivity, a right R-module M is called max-projective provided
that each homomorphism f: M→ R/I, where I is any maximal right ideal, factors through the …

On the rings whose injective right modules are max-projective

Y Alagöz, E Büyükaşık, B Yurtsever - arXiv preprint arXiv:2404.01771, 2024 - arxiv.org
Recently, the rings whose injective right modules are R-projective (respectively, max-
projective) were investigated and studied in [2]. Such ring are called right almost-QF …

Almost-perfect rings and modules

B Amini, A Amini, M Ershad - Communications in Algebra®, 2009 - Taylor & Francis
Following, a ring R is called right almost-perfect if every flat right R-module is projective
relative to R. In this article, we continue the study of these rings and will find some new …

Rings over which flat covers of simple modules are projective

E BÜYÜKAŞIK - Journal of Algebra and its Applications, 2012 - World Scientific
RINGS OVER WHICH FLAT COVERS OF SIMPLE MODULES ARE PROJECTIVE Page 1
Journal of Algebra and Its Applications Vol. 11, No. 3 (2012) 1250046 (7 pages) c© World …

Rings whose nonsingular right modules are -projective

Y Alagöz, S Benli, E Büyükaşık - … Mathematicae Universitatis Carolinae, 2021 - dml.cz
A right $ R $-module $ M $ is called $ R $-projective provided that it is projective relative to
the right $ R $-module $ R_ {R} $. This paper deals with the rings whose all nonsingular …

On flatness covers of cyclic acts over monoids

H Qiao, L Wang - Glasgow Mathematical Journal, 2012 - cambridge.org
The covers of cyclic acts over monoids were investigated by Mahmoudi and Renshaw (M.
Mahmoudi and J. Renshaw, On covers of cyclic acts over monoids, Semigroup Forum77 …

[PDF][PDF] Nearly Maximal Projective Modules

NK Abdullah, SW Omar, NK Abdullah - 2023 - academia.edu
All rings in this work are right ring and all modules is right module (mod) X over a ring R. A
mod X is said to be nearly maximal projective (for short; Ner. Mx. Pro. Mod)) if∀ …

When Certain Relative Projectivity and Injectivity Conditions Imply the Global Projectivity and Injectivity

SB Göral - 2022 - search.proquest.com
Abstract A right R-module M is called R-projective provided that it is projective relative to the
right R-module R R. One of the parts of this thesis deals with the rings whose all nonsingular …

On generalizations of semiperfect and perfect rings

Y Mehmet Demirci - Bulletin of the Iranian Mathematical Society, 2016 - bims.iranjournals.ir
‎ We call a ring $ R $ right generalized semiperfect if every simple right $ R $-module is an
epimorphic image of a flat right $ R $-module with small kernel‎,‎ that is‎,‎ every simple right $ R …

On -extensions and balanced pairs

W Li, Q Huang, B Ouyang - Communications in Algebra, 2020 - Taylor & Francis
Let C be a class of modules. We introduce the notion of C¯-extensions. For any modules A
and B, we show that, if C lies in the left part of a balanced pair, then there is a bijection …