Often perceived as dry and abstract, homological algebra nonetheless has important applications in a number of important areas, including ring theory, group theory, representation theory, and algebraic topology and geometry. Although the area of study developed almost 50 years ago, a textbook at this level has never before been available. An Elementary Approach to Homological Algebra fills that void. Designed to meet the needs of beginning graduate students, the author presents the material in a clear, easy-to-understand manner with many examples and exercises. The book's level of detail, while not exhaustive, also makes it useful for self-study and as a reference for researchers.



Klappentext

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



Inhalt

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.

Titel
An Elementary Approach to Homological Algebra
EAN
9781135438630
Format
ePUB
Veröffentlichung
28.05.2003
Digitaler Kopierschutz
Adobe-DRM
Anzahl Seiten
328