Homological algebra was developed as an area of study almost 50 years ago, and many books on the subject exist. However, few, if any, of these books are written at a level appropriate for students approaching the subject for the first time.
An Elementary Approach to Homological Algebra fills that void. Designed to meet the needs of beginning graduate students, it presents the material in a clear, easy-to-understand manner. Complete, detailed proofs make the material easy to follow, numerous worked examples help readers understand the concepts, and an abundance of exercises test and solidify their understanding.
Often perceived as dry and abstract, homological algebra nonetheless has important applications in many important areas. The author highlights some of these, particularly several related to group theoretic problems, in the concluding chapter. Beyond making classical homological algebra accessible to students, the author's level of detail, while not exhaustive, also makes the book useful for self-study and as a reference for researchers.
Rezensionen / Stimmen
"The book is a self-contained one and there are ... complete proofs for all the results. In our opinion, it is a highly recommended introductory book in Homological Algebra for everyone interested in this subject."
- Zentralblatt MATH, 1045
"... [T]he author on the one hand has included the underlying basics, model and category theory, which are developed from scratch. On the other hand the elementary notions and results of homological algebra are treated in great detail and often their importance within that theory as well as in applications is shown. ... All in all the author has managed ... admirably to reach the goal he has set [for] himself."
- Monatshefte fur Mathematik
"When I next teach an introductory course on homological algebra at my institution, I will certainly consider adopting this book as the textbook for the course.
-Mathematical Reviews
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für Beruf und Forschung
Professional
Maße
Höhe: 234 mm
Breite: 156 mm
Gewicht
ISBN-13
978-1-58488-400-2 (9781584884002)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
L.R. Vermani
Autor*in
Kurukshetra University, India
Modules. Categories and Functors. Projective and Injective Modules. Homology of Complexes. Derived Functors. Torsion and Extension Functors. The Functor Ext. Hereditary and Semi-Hereditary Rings. Universal Coefficient Theorem. Dimensions of Modules and Rings. Cohomology of Groups.
