On envelopes with the unique mapping property
N Ding - Communications in Algebra, 1996 - Taylor & Francis
We prove that (a) if R is a left coherent ring, then the weak global dimension w D (R)<= n
(n>= 2) if and only if every (n–2) th F–cosyzygy of a finitely presented right R–module has a …
(n>= 2) if and only if every (n–2) th F–cosyzygy of a finitely presented right R–module has a …
[引用][C] Resolvents and dimensions of modules and rings
EE Enochs, OMG Jenda - Archiv der Mathematik, 1991 - Springer
If R is left noetherian and M is a left R-module, then we can construct a complex called an
injective resolvent of M using injective precovers. Likewise, if R is left coherent and M is a …
injective resolvent of M using injective precovers. Likewise, if R is left coherent and M is a …
On copure projective modules and copure projective dimensions
X Fu, H Zhu, N Ding - Communications in Algebra, 2012 - Taylor & Francis
Let R be any ring. A right R-module M is called n-copure projective if Ext1 (M, N)= 0 for any
right R-module N with fd (N)≤ n, and M is said to be strongly copure projective if Ext i (M, F) …
right R-module N with fd (N)≤ n, and M is said to be strongly copure projective if Ext i (M, F) …
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 …
Flat envelopes in commutative rings
JA Mayor, JM Hernandez - Israel Journal of Mathematics, 1988 - Springer
Flat envelopes in commutative rings Page 1 ISRAEL JOURNAL OF MATHEMATICS, Vol. 62,
No, 1, 1988 FLAT ENVELOPES IN COMMUTATIVE RINGS BY J. ASENSIO MAYOR AND J …
No, 1, 1988 FLAT ENVELOPES IN COMMUTATIVE RINGS BY J. ASENSIO MAYOR AND J …
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 …
A note on existence of envelopes and covers
J Chen, N Ding - Bulletin of the Australian Mathematical Society, 1996 - cambridge.org
We prove the following results for a ring R.(a) If C is a class of right R-modules closed under
direct summands and isomorphisms, then every right R-module has an epic C-envelope if …
direct summands and isomorphisms, then every right R-module has an epic C-envelope if …
[HTML][HTML] Self-orthogonal modules over coherent rings
Z Huang, G Tang - Journal of Pure and Applied Algebra, 2001 - Elsevier
Let R be a left coherent ring, S any ring and RωS an (R, S)-bimodule. Suppose ωS has an
ultimately closed FP-injective resolution and RωS satisfies the conditions:(1) ωS is finitely …
ultimately closed FP-injective resolution and RωS satisfies the conditions:(1) ωS is finitely …
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) …
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 …