[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 …
[图书][B] Flat covers of modules
J Xu - 2006 - books.google.com
Since the injective envelope and projective cover were defined by Eckmann and Bas in the
1960s, they have had great influence on the development of homological algebra, ring …
1960s, they have had great influence on the development of homological algebra, ring …
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 …
The existence of Gorenstein flat covers
EE Enochs, OMG Jenda, JA López-Ramos - Mathematica Scandinavica, 2004 - JSTOR
THE EXISTENCE OF GORENSTEIN FLAT COVERS Page 1 MATH. SCAND. 94 (2004), 46-62
THE EXISTENCE OF GORENSTEIN FLAT COVERS EDGAR Ε. ENOCHS, OVERTOUN ΜGJENDA …
THE EXISTENCE OF GORENSTEIN FLAT COVERS EDGAR Ε. ENOCHS, OVERTOUN ΜGJENDA …
Foxby duality and Gorenstein injective and projective modules
E Enochs, O Jenda, J Xu - Transactions of the American Mathematical …, 1996 - ams.org
In 1966, Auslander introduced the notion of the $ G $-dimension of a finitely generated
module over a Cohen-Macaulay noetherian ring and found the basic properties of these …
module over a Cohen-Macaulay noetherian ring and found the basic properties of these …
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 …
Coherent rings of finite weak global dimension
E Enochs, J Hernández, A Del Valle - Proceedings of the American …, 1998 - ams.org
The category of left modules over right coherent rings of finite weak global dimension has
several nice features. For example, every left module over such a ring has a flat cover …
several nice features. For example, every left module over such a ring has a flat cover …
The phantom menace in representation theory
B Huisgen-Zimmermann - CONTEMPORARY MATHEMATICS, 2000 - books.google.com
Our principal goal in this overview is to explain and motivate the concept of a phantom in the
representation theory of finite dimensional algebras. In particular, we will exhibit the key role …
representation theory of finite dimensional algebras. In particular, we will exhibit the key role …
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 …
The orthogonal complement relative to the functor extension of the class of all Gorenstein flat modules
N Mahdou, M Tamekkante - 2011 - degruyter.com
Abstract Set 𝔊𝔉 (R) the class of all Gorenstein flat modules over R. In this paper, we
consider the double orthogonal classes⊥(𝔊𝔉 (R)⊥) and (⊥ 𝔊𝔉 (R))⊥ which clearly lies …
consider the double orthogonal classes⊥(𝔊𝔉 (R)⊥) and (⊥ 𝔊𝔉 (R))⊥ which clearly lies …