Relative Homological Algebra

1. Auflage 2011
ISBN: 978-3-11-021522-9
Verlag: De Gruyter

Buch, Englisch, Band 54, 96 Seiten, Format (B × H): 175 mm x 246 mm, Gewicht: 376 g

Reihe: De Gruyter Expositions in Mathematics

This second volume deals with the relative homological algebra of complexes of modules and their applications. It is a concrete and easy introduction to the kind of homological algebra which has been developed in the last 50 years. The book serves as a bridge between the traditional texts on homological algebra and more advanced topics such as triangulated and derived categories or model category structures. It addresses to readers who have had a course in classical homological algebra, as well as to researchers.

Zielgruppe

Lecturers, Graduate Students of Mathematics; Academic Libraries

Autoren/Hrsg.

Jenda, Overtoun M. G.

Enochs, Edgar E.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra

Inhaltsverzeichnis

Frontmatter
Preface
Nomenclature
Contents
Chapter 1 Complexes of Modules
Chapter 2 Short Exact Sequences of Complexes
Chapter 3 The Category K(R-Mod)
Chapter 4 Cotorsion Pairs and Triplets in C(R-Mod)
Chapter 5 Adjoint Functors
Chapter 6 Model Structures
Chapter 7 Creating Cotorsion Pairs
Chapter 8 Minimal Complexes
Chapter 9 Cartan and Eilenberg Resolutions
Bibliographical Notes
Bibliography
Index

Über Autor(innen)

Jenda, Overtoun M. G.
Overtoun M. G. Jenda, Auburn University, Alabama, USA

Enochs, Edgar E.
Edgar E. Enochs, University of Kentucky, Lexington, USA

Edgar E. Enochs, University of Kentucky, Lexington, USA; Overtoun M. G. Jenda, Auburn University, Alabama, USA