On n -Coherent Rings and ( n , d )-Rings
D Zhou - 2004 - Taylor & Francis
We introduce the concepts of (n, d)-injective and (n, d)-flat as generalizations of injective, flat
modules and homological dimensions, and use them to characterize right n-coherent rings …
modules and homological dimensions, and use them to characterize right n-coherent rings …
On n-coherent rings, n-hereditary rings and n-regular rings
Z Zhu - 2011 - sid.ir
ON N-COHERENT RINGS, N-HEREDITARY RINGS AND N-REGULAR RINGS Page 1 Archive
of SID Bulletin of the Iranian Mathematical Society Vol. 37 No. 4 (2011), pp 251-267. ON …
of SID Bulletin of the Iranian Mathematical Society Vol. 37 No. 4 (2011), pp 251-267. ON …
Weak injective and weak flat modules
Z Gao, F Wang - Communications in Algebra, 2015 - Taylor & Francis
Let R be a ring. A left R-module M (resp., right R-module N) is called weak injective (resp.,
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …
weak flat) if (resp.,) for every super finitely presented left R-module F. By replacing finitely …
On relative injective modules and relative coherent rings
L Mao, N Ding - Communications in Algebra®, 2006 - Taylor & Francis
Let m and n be fixed positive integers and M a right R-module. Recall that M is said to be (m,
n)-injective if for any (m, n)-presented right R-module P; M is called (m, n)-flat if for any (m, n) …
n)-injective if for any (m, n)-presented right R-module P; M is called (m, n)-flat if for any (m, n) …
[引用][C] Cofinitely generated and cofinitely related modules
VA Hiremath - Acta Mathematica Hungarica, 1982 - akjournals.com
P. VAMOS [11] has defned and studied'finitely embedded modules' as the dual of'finitely
generated modules'. JANS [4] called them as co finitely generated modules and defined a …
generated modules'. JANS [4] called them as co finitely generated modules and defined a …
Some studies on Π-coherent rings
M Wang - Proceedings of the American Mathematical Society, 1993 - JSTOR
Some Studies on Π-Coherent Rings Page 1 PROCEEDINGS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 119, Number 1, September 1993 SOME STUDIES ON If-COHERENT …
MATHEMATICAL SOCIETY Volume 119, Number 1, September 1993 SOME STUDIES ON If-COHERENT …
On (m, n)-injective modules and (m, n)-coherent rings
X Zhang, J Chen, J Zhang - Algebra Colloquium, 2005 - World Scientific
Let R be a ring. For two fixed positive integers m and n, a right R-module M is called (m, n)-
injective in case every right R-homomorphism from an n-generated submodule of Rm to M …
injective in case every right R-homomorphism from an n-generated submodule of Rm to M …
On --Flat modules and Their Homological Dimensions
X Zhang, W Zhao - arXiv preprint arXiv:2107.12643, 2021 - arxiv.org
In this paper, we introduce and study the class of $\phi $-$ w $-flat modules which are
generalizations of both $\phi $-flat modules and $ w $-flat modules. The $\phi $-$ w $-weak …
generalizations of both $\phi $-flat modules and $ w $-flat modules. The $\phi $-$ w $-weak …
On n-perfect rings and cotorsion dimension
D Bennis, N Mahdou - arXiv preprint arXiv:0801.2067, 2008 - arxiv.org
A ring is called $ n $-perfect ($ n\geq 0$), if every flat module has projective dimension less
or equal than $ n $. In this paper, we show that the $ n $-perfectness relate, via homological …
or equal than $ n $. In this paper, we show that the $ n $-perfectness relate, via homological …
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 …