On dual of square free modules

D Keskin Tütüncü, I Kikumasa, Y Kuratomi… - Communications in …, 2018 - Taylor & Francis
ABSTRACT A module M is said to be square free if whenever its submodule is isomorphic to
N 2= N⊕ N for some module N, then N= 0. Dually, a module M is said to be d-square free …

On divisible and torsionfree modules

L Mao, N Ding - Communications in Algebra®, 2008 - Taylor & Francis
A ring R is called left P-coherent in case each principal left ideal of R is finitely presented. A
left R-module M (resp. right R-module N) is called D-injective (resp. D-flat) if Ext1 (G, M)= 0 …

On closed weak supplemented modules

Q Zeng, M Shi - Journal of Zhejiang University-SCIENCE A, 2006 - Springer
A module M is called closed weak supplemented if for any closed submodule N of M, there
is a submodule K of M such that M= K+ N and K∩ N<< M. Any direct summand of closed …

On almost precovers and almost preenvelopes

L Mao, N Ding, W Tong - Acta Mathematica Scientia, 2006 - Elsevier
Let C be a class of R-modules closed under isomorphisms and finite direct sums. It is first
shown that the finite direct sum of almost C-precovers is an almost C-precover and the direct …

FPn-injective and FPn-flat modules with respect to a semidualizing bimodule

W Wu, Z Gao - Communications in Algebra, 2022 - Taylor & Francis
Let S and R be rings, SCR be a semidualizing bimodule and n≥ 0 be an integer or n=∞.
We introduce and study C-FP n-injective and C-FP n-flat modules as a common …

On φ-u-S-flat modules and nonnil-u-S-injective modules

H Kim, N Mahdou, EH Oubouhou - Georgian Mathematical Journal, 2024 - degruyter.com
This paper introduces and studies the ϕ-uS-flat (resp., nonnil-uS-injective) modules, which
are a generalization of both ϕ-flat modules and uS-flat modules (resp., both nonnil-injective …

The class of modules with projective cover

YH Guo - Journal of the Korean Mathematical Society, 2009 - koreascience.kr
J. Korean Math. Soc. 46 (2009), No. 1, pp. 51–58 Page 1 J. Korean Math. Soc. 46 (2009), No. 1,
pp. 51–58 THE CLASS OF MODULES WITH PROJECTIVE COVER YONGHUA GUO …

Finitely generated modules over semilocal rings and characterizations of (semi-) perfect rings

CH Chang - Kyungpook Mathematical Journal, 2008 - koreascience.kr
Lomp [9] has studied finitely generated projective modules over semilocal rings. He
obtained the following: finitely generated projective modules over semilocal rings are …

[PDF][PDF] Almost principally small injective rings

Y Xiang - Journal of the Korean Mathematical Society, 2011 - researchgate.net
ALMOST PRINCIPALLY SMALL INJECTIVE RINGS 1. Introduction Let R be a ring. A right ideal I
of R is called small if, for every pro Page 1 J. Korean Math. Soc. 48 (2011), No. 6, pp. 1189–1201 …

Derived Functors of Hom Relative to n-Flat Covers

C Selvaraj, R Udhayakumar - Vietnam Journal of Mathematics, 2015 - Springer
Derived Functors of Hom Relative to n-Flat Covers | SpringerLink Skip to main content
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