Rings characterized by (pre) envelopes and (pre) covers of their modules
After the introduction hy Enochs [9] of the concepts of (pre) erlveIope and I llrejcover of a
module 1r1 a gi\wi class F of modules, there has been great interest in tllelr stud;, specially …
module 1r1 a gi\wi class F of modules, there has been great interest in tllelr stud;, specially …
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 …
Almost free modules and Mittag-Leffler conditions
D Herbera, J Trlifaj - Advances in Mathematics, 2012 - Elsevier
Drinfeld recently suggested to replace projective modules by the flat Mittag-Leffler ones in
the definition of an infinite dimensional vector bundle on a scheme X (Drinfeld, 2006 [8]) …
the definition of an infinite dimensional vector bundle on a scheme X (Drinfeld, 2006 [8]) …
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 …
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 …
D3-Modules
M Yousif, I Amin, Y Ibrahim - Communications in Algebra, 2014 - Taylor & Francis
A right R-module M is called a D 3-module, if M 1 and M 2 are direct summands of M with M=
M 1+ M 2, then M 1∩ M 2 is a direct summand of M. Following the work of Bass on projective …
M 1+ M 2, then M 1∩ M 2 is a direct summand of M. Following the work of Bass on projective …
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 …
[HTML][HTML] Flat modules over valuation rings
F Couchot - Journal of Pure and Applied Algebra, 2007 - Elsevier
Let R be a valuation ring and let Q be its total quotient ring. It is proved that any singly
projective (respectively flat) module is finitely projective if and only if Q is maximal …
projective (respectively flat) module is finitely projective if and only if Q is maximal …
Embedding torsionless modules in projectives
C Faith - Publicacions matematiques, 1990 - JSTOR
In this paper we study a condition right FGTF on a ring R, namely when all finitely generated
torsionless right R-modules embed in a free module. We show that for a von Neuman …
torsionless right R-modules embed in a free module. We show that for a von Neuman …