[图书][B] Relative homological algebra: Volume 1
EE Enochs, OMG Jenda - 2011 - books.google.com
This is the second revised edition of an introduction to contemporary relative homological
algebra. It supplies important material essential to understand topics in algebra, algebraic …
algebra. It supplies important material essential to understand topics in algebra, algebraic …
The existence of flat covers over Noetherian rings of finite Krull dimension
JZ Xu - Proceedings of the American Mathematical Society, 1995 - ams.org
Bass characterized the rings R with the property that every left R-module has a projective
cover. These are the left perfect rings. A ring is left perfect if and only if the class of projective …
cover. These are the left perfect rings. A ring is left perfect if and only if the class of projective …
The existence of flat covers
R Belshoff, EE Enochs, JZ Xu - Proceedings of the American Mathematical …, 1994 - ams.org
THE EXISTENCE OF FLAT COVERS flat, then <j> is called a flat cover of M if F' F —^— MF (b)
¡ \ F —^ M Page 1 proceedings OF THE AMERICAN MATHEMATICAL SOCIETY Volume 122 …
¡ \ F —^ M Page 1 proceedings OF THE AMERICAN MATHEMATICAL SOCIETY Volume 122 …
A Survey of Covers and Envelopes
EE Enochs, OMG Jenda - LECTURE NOTES IN PURE AND …, 2000 - books.google.com
2. Definitions and Remarks If F is class of objects of a category C, by an F-precover of an
object X of C we mean a morphism: F→ X with FF such that Hom (G, F')→ Hom (G, X) is …
object X of C we mean a morphism: F→ X with FF such that Hom (G, F')→ Hom (G, X) is …
Torsionfree covers and covers by submodules of flat modules
The study-. of torsionfree covers started in the paper by Enochs 161 and continued in 111,
where the interesting result that any module over a integral domain has a torsionfree cover …
where the interesting result that any module over a integral domain has a torsionfree cover …
Flat torsionfree modules and QF-3 rings
J Gomez-Torrecillas, B Torrecillas - Osaka Journal of Mathematics, 1993 - projecteuclid.org
Since Thrall [25] proposed the concept of QF-3 algebra as a generalization of QF algebras,
several extensions of this concept have been proposed for general rings. Perhaps the most …
several extensions of this concept have been proposed for general rings. Perhaps the most …
Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New YorN, USA MarNus J. Pflaum, University of Colorado …
RO Wells - degruyter.com
The subject of relative homological algebra was introduced by S. Eilenberg and JC Moore in
their 1965 AMS Memoir 'Foundations of Relative Homological Algebra'. We now have in …
their 1965 AMS Memoir 'Foundations of Relative Homological Algebra'. We now have in …
[PDF][PDF] Some Generalizations of Module Approximations
A Zaffar, MRK Ansari - International Journal of Algebra, 2013 - academia.edu
Considering a ring A to be imbedded in a ring D, the study deals with D-flat and D (n)-flat
modules where D-flat modules are defined in terms of D-cotorsion modules. By using D-flat …
modules where D-flat modules are defined in terms of D-cotorsion modules. By using D-flat …
[PDF][PDF] THE SPECIAL RESOLVENT CLASSES
NT NAM, NV DONG - researchgate.net
In this article, we emphasize to study about the special resolvent classes. Specially, we
showed that: if FC (CE) is the class of all R-modules having a F-cover (C-envelope) then FC …
showed that: if FC (CE) is the class of all R-modules having a F-cover (C-envelope) then FC …