On n-Coherent rings
J Chen, N Ding - Communications in Algebra, 1996 - Taylor & Francis
Recently, Costa [4] introduced the concept of n-coherent rings. In this note we shall give
some further properties of n-coherent rings. Let R be a ring and na nonnegative integer …
some further properties of n-coherent rings. Let R be a ring and na nonnegative integer …
Relative coherence and preenvelopes.
N Ding, J Chen - manuscripta mathematica, 1993 - search.ebscohost.com
Relative coherence and preenvelopes Page 1 manuscripta math. 81, 243- 262 (1993)
manuscripta mathematica 9 Springer rlag 1993 RELATIVE COHERENCE AND …
manuscripta mathematica 9 Springer rlag 1993 RELATIVE COHERENCE AND …
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 …
left R-module M (resp. right R-module N) is called D-injective (resp. D-flat) if Ext1 (G, M)= 0 …
A new semistar operation on a commutative ring and its applications
DC Zhou, H Kim, FG Wang, D Chen - Communications in Algebra, 2020 - Taylor & Francis
In this article, a new semistar operation, called the q-operation, on a commutative ring R is
introduced in terms of the ring Q 0 (R) of finite fractions. It is defined as the map q: F q (R)→ F …
introduced in terms of the ring Q 0 (R) of finite fractions. It is defined as the map q: F q (R)→ F …
J-coherent rings
N Ding, Y Li, L Mao - Journal of Algebra and Its Applications, 2009 - World Scientific
Let R be a ring. Recall that a left R-module M is coherent if every finitely generated
submodule of M is finitely presented. R is a left coherent ring if the left R-module RR is …
submodule of M is finitely presented. R is a left coherent ring if the left R-module RR is …
Min-flat modules and min-coherent rings
L Mao - Communications in Algebra®, 2007 - Taylor & Francis
Let R be a ring. A left R-module M is said to be min-injective if for any simple left ideal I. A
right R-module N is called min-flat if for any simple left ideal I. R is said to be a left min …
right R-module N is called min-flat if for any simple left ideal I. R is said to be a left min …
Spectral Gabriel topologies and relative singular functors
JL Gómez Pardo - Communications in Algebra, 1985 - Taylor & Francis
INTRODUCTION Let R be a ring and R-Mod the category of left R-modules. If F is a left
Gabriel topology on R, then there is an associated quotient category (R, F)-~ od which is the …
Gabriel topology on R, then there is an associated quotient category (R, F)-~ od which is the …
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 …
shown that arbitrary products of RR are flat if and only if finitely generated submodules of …
Strongly FP-injective modules
W Li, J Guan, B Ouyang - Communications in Algebra, 2017 - Taylor & Francis
ABSTRACT A module M is called strongly FP-injective if Ext i (P, M)= 0 for any finitely
presented module P and all i≥ 1.(Pre) envelopes and (pre) covers by strongly FP-injective …
presented module P and all i≥ 1.(Pre) envelopes and (pre) covers by strongly FP-injective …
Relatively flat envelopes
J Martńnez Hernńndez - Communications in Algebra, 1986 - Taylor & Francis
868 MARTINEZ HERNANDEZ where F'is a flat and F-divisible module, can be completed
commutatively. b) The diagram can be completed only by means of autornorphisms of F. In …
commutatively. b) The diagram can be completed only by means of autornorphisms of F. In …