Almost projective modules and generalized projective modules

I Kikumasa, Y Kuratomi, Y Shibata - Communications in Algebra, 2022 - Taylor & Francis
Almost N-projective modules and generalized N-projective modules play an important role
in the study of lifting modules and artinian rings. In this paper, we study a relationship …

Projectivity relative to closed (neat) submodules

Y Durğun - Journal of Algebra and Its Applications, 2022 - World Scientific
An R-module F is called closed (neat) projective if, for every closed (neat) submodule L of
every R-module M, every homomorphism from F to M/L lifts to M. In this paper, we study …

On epi-projective modules

D Keskin, Y Kuratomi - East West Math, 2008 - congthongtin.ntt.edu.vn
1 Preliminaries Page 1 East-West J. of Mathematics: Vol. 10, No 1 (2008) pp. 27-35 On Epi-Projective
Modules Derya Keskin Tütüncü ∗ and Yosuke Kuratomi † ∗ Department of Mathematics …

[PDF][PDF] Endomorphism rings and formal matrix rings of pseudo-projective modules

DT Tranga, BD Dungb - Filomat, 2024 - pmf.ni.ac.rs
A module M is called pseudo-projective if every epimorphism from M to each quotient
module of M can be lifted to an endomorphism of M. In this paper, we study some properties …

[引用][C] Almost projective modules

M Harada - Journal of Algebra, 1993 - Elsevier
We studied almost relative projective modules and almost relative injective modules in [3, 6,
7]. In this short note we define a new module, an almost projective (resp. almost injective) …

Rings with singular modules having a restricted subprojectivity domain

A Çobankaya, AY Shibeshi, R Sönmez - São Paulo Journal of …, 2024 - Springer
Given modules X and Y, X is said to be Y-subprojective if for every epimorphism\(\pi:
P\rightarrow Y\) and every homomorphism\(\alpha: X\rightarrow Y\), there exists a …

[PDF][PDF] UNIFORMLY S-PROJECTIVE MODULES AND UNIFORMLY S-PROJECTIVE UNIFORMLY S-COVERS

H KIM, N MAHDOU, O EL HOUSSAINE, X ZHANG - 2024 - researchgate.net
Recently, Zhang and Qi introduced and studied the concept of uniformly S-projective (uS-
projective) modules, where S represents a multiplicative subset of a ring. In this paper, we …

On almost N-simple-projectives

Y Baba, T Yamazaki - Mathematical Journal of Okayama …, 2011 - ousar.lib.okayama-u.ac.jp
The concept of almost N-projectivity is defined in [5] by M. Harada and A. Tozaki to translate
the concept" lifting module" in terms of homomorphisms. In [6, Theorem 1] M. Harada …

On almost M-projectives and almost M-injectives

Y Baba, M Harada - Tsukuba journal of mathematics, 1990 - JSTOR
We have defined aconcept of almost M-projectives and almost M-injectives in [4] and [9],
respectively. In the first section of this paper we give some relations among lifting modules …

[PDF][PDF] On generalized epi-projective modules

DK Tutuncu, Y Kuratomi - Math. J. Okayama Univ, 2010 - academia.edu
A module M is said to be generalized N-projective (or N-dual ojective) if, for any
epimorphism g: N→ X and any homomorphism f: M→ X, there exist decompositions M …