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 …

In basic homological algebra, the projective, injective and flat dimensions of modules play
an important and fundamental role. In this paper, the closely related Gorenstein projective …

References Page 1 References [1] S. Abhyankar, S. Wiegand, On the compositum of two power
series rings, Proc. Amer. Math. Soc. 112 (1991), 629 – 636. [2] U. Albrecht, Endomorphism …

This book is intended as a reference for mathematicians working with homological
dimensions in commutative algebra and as an introduction to Gorenstein dimensions for …

This book is a comprehensive treatment of the representation theory of maximal Cohen-
Macaulay (MCM) modules over local rings. This topic is at the intersection of commutative …

In this paper the authors investigate homological and homotopical aspects of a concept of
torsion which is general enough to cover torsion and cotorsion pairs in abelian categories …

In this paper we give two different proofs that the flat cover conjecture is true: that is, every
module has a flat cover. The two proofs are of completely different nature, and, we hope, will …

It is possible to associate a topological space to the category of modules over any ring. This
space, the Ziegler spectrum, is based on the indecomposable pure-injective modules …

This book provides a comprehensive exposition of the use of set-theoretic methods in
abelian group theory, module theory, and homological algebra, including applications to …

HOW TO MAKE Ext VANISH Page 1 HOW TO MAKE Ext VANISH PAUL C. EKLOF and JAN
TRLIFAJ Abstract We describe a general construction of a module A from a given module B …