[PDF][PDF] n-cocoherent rings, n-cosemihereditary rings and nV-rings
Z ZHU - 2014 - sid.ir
Let R be a ring, and let n, d be non-negative integers. A right R-module M is called (n, d)-
projective if Ext d+ 1 R (M, A)= 0 for every n-copresented right R-module A. R is called right n …
projective if Ext d+ 1 R (M, A)= 0 for every n-copresented right R-module A. R is called right n …
[PDF][PDF] -COCOHERENT RINGS, -COSEMIHEREDITARY RINGS AND --RINGS
Z Zhanmın - International Electronic Journal of Algebra, 2021 - dergipark.org.tr
Let $ R $ be a ring, $ n $ be an non-negative integer and $ d $ be a positive integer or $\infty
$. A right $ R $-module $ M $ is called\emph {$(n, d)^* $-projective} if ${\rm Ext}^ 1_R (M …
$. A right $ R $-module $ M $ is called\emph {$(n, d)^* $-projective} if ${\rm Ext}^ 1_R (M …
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 …
Some results on n-coherent rings, n-hereditary rings and n-regular rings
Z Zhu - Boletín de la Sociedad Matemática Mexicana, 2018 - Springer
Let R be a ring and n be a positive integer. R is called left n-coherent, if every n-presented
left R-module is (n+ 1)(n+ 1)-presented. A left R-module M is called (n, 0)-injective if Ext …
left R-module is (n+ 1)(n+ 1)-presented. A left R-module M is called (n, 0)-injective if Ext …
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 …
-Injective and -coherent endomorphism rings of modules
L Mao - Journal of Algebra and Its Applications, 2020 - World Scientific
Let m and n be fixed positive integers. R is called a right (m, n)-injective ring if every right R-
homomorphism from an n-generated submodule of the right R-module R m to R extends to …
homomorphism from an n-generated submodule of the right R-module R m to R extends to …
Some results on -injective modules, -flat modules and -coherent rings
Z Zhu - Commentationes Mathematicae Universitatis Carolinae, 2015 - dml.cz
Let $ n, d $ be two non-negative integers. A left $ R $-module $ M $ is called $(n, d) $-
injective, if ${\rm Ext}^{d+ 1}(N, M)= 0$ for every $ n $-presented left $ R $-module $ N $. A …
injective, if ${\rm Ext}^{d+ 1}(N, M)= 0$ for every $ n $-presented left $ R $-module $ N $. A …
Relative projective modules and relative injective modules
L Mao, N Ding - Communications in Algebra®, 2006 - Taylor & Francis
Let R be a ring, and n and d fixed non-negative integers. An R-module M is called (n, d)-
injective if Ext d+ 1 R (P, M)= 0 for any n-presented R-module P. M is said to be (n, d) …
injective if Ext d+ 1 R (P, M)= 0 for any n-presented R-module P. M is said to be (n, d) …
On n-coherent rings and (n, d)-injective modules
D Zhang, B Ouyang - Algebra Colloquium, 2015 - World Scientific
Let R be a ring, n, d be fixed non-negative integers, the class of (n, d)-injective left R-
modules, and the class of (n, d)-flat right R-modules. In this paper, we prove that if R is a left …
modules, and the class of (n, d)-flat right R-modules. In this paper, we prove that if R is a left …
n-Copure projective modules
Z Gao - Mathematical Notes, 2015 - Springer
Let R be a ring, na fixed nonnegative integer and F n the class of all left R-modules of flat
dimension at most n. A left R-module M is called n-copure projective if Ext R 1 (M, F)= 0 for …
dimension at most n. A left R-module M is called n-copure projective if Ext R 1 (M, F)= 0 for …