[PDF][PDF] Strongly cotorsion (torsion-free) modules and cotorsion pairs
H Yan - Bulletin of the Korean Mathematical Society, 2010 - Citeseer
In this paper, strongly cotorsion (torsion-free) modules are studied and strongly cotorsion
(torsion-free) dimension is introduced. It is shown that every module has a special SCn …
(torsion-free) dimension is introduced. It is shown that every module has a special SCn …
On n-Weak Cotorsion Modules
C Selvaraj, P Prabakaran - Lobachevskii Journal of Mathematics, 2018 - Springer
Let R be a ring and na fixed non-negative integer. In this paper, n-weak cotorsion modules
are introduced and studied. A right R-module N is called n-weak cotorsion module if Ext …
are introduced and studied. A right R-module N is called n-weak cotorsion module if Ext …
The cotorsion dimension of modules and rings
L Mao, N Ding - Abelian groups, rings, modules, and homological …, 2016 - taylorfrancis.com
Chapter 19 The Cotorsion Dimension of Modules and Rings Lixin Mao Department of Basic
Courses, Nanjing Institute of Technology, Nanjing 210013, Peoples Republic of China …
Courses, Nanjing Institute of Technology, Nanjing 210013, Peoples Republic of China …
Cotorsion dimensions relative to semidualizing modules
X Chen, J Chen - Journal of Algebra and Its Applications, 2016 - World Scientific
Let C be a semidualizing R-module, where R is a commutative ring. We first introduce the
definition of C-cotorsion modules, and obtain the properties of C-cotorsion modules. As …
definition of C-cotorsion modules, and obtain the properties of C-cotorsion modules. As …
[PDF][PDF] On the right orthogonal complement of the class of w-flat modules
FAA Almahdi, M Tamekkante… - J. Ramanujan Math …, 2018 - researchgate.net
Let R be a commutative ring. An R-module M is said to be w-flat if TorR 1 (M, N) is a GV-
torsion R-module for all R-modules N. In this paper, we study the flat and projective …
torsion R-module for all R-modules N. In this paper, we study the flat and projective …
Selforthogonal modules with finite injective dimension
Z Huang - Science in China Series A: Mathematics, 2000 - Springer
The category consisting of finitely generated modules which are left orthogonal with a
cotilting bimodule is shown to be functorially finite. The notion of left orthogonal dimension is …
cotilting bimodule is shown to be functorially finite. The notion of left orthogonal dimension is …
[PDF][PDF] Selforthogonal modules with finite injective dimension
H Zhaoyong - SCIENCE IN CHINA (Series A), 2000 - maths.nju.edu.cn
The category consisting of finitely generated modules which are left orthogonal with a
cotilting bimodule is shown to be functorially finite. The notion of left orthogonal dimension is …
cotilting bimodule is shown to be functorially finite. The notion of left orthogonal dimension is …
[PDF][PDF] On w-copure flat modules and dimension
HK El Mehdi Bouba, M Tamekkante - Bull. Korean Math. Soc, 2020 - academia.edu
Let R be a commutative ring. An R-module M is said to be w-flat if Tor R 1 (M, N) is GV-
torsion for any R-module N. It is known that every flat module is w-flat, but the converse is not …
torsion for any R-module N. It is known that every flat module is w-flat, but the converse is not …
Quasi-cotilting modules and torsion-free classes
P Zhang, J Wei - Journal of Algebra and Its Applications, 2019 - World Scientific
We prove that all quasi-cotilting modules are pure-injective and cofinendo. It follows that the
class Cogen M is always a covering class whenever M is a quasi-cotilting module. Some …
class Cogen M is always a covering class whenever M is a quasi-cotilting module. Some …
Extension Closure of Relative k-Torsionfree Modules
Z Huang - Communications in Algebra, 2006 - Taylor & Francis
Full article: Extension Closure of Relative k-Torsionfree Modules Skip to Main Content Taylor and
Francis Online homepage Taylor and Francis Online homepage Access provided by The …
Francis Online homepage Taylor and Francis Online homepage Access provided by The …