Homological Algebra

Homological Algebra - Princeton Landmarks in Mathematics

Paperback (17 Feb 2000) | English

Save $23.11

  • $108.59
  • $85.48
Add to basket

Includes delivery to USA

10+ copies available online - Usually dispatched within 7 days

Synopsis

When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledged theory. The invasion of algebra had occurred on three fronts through the construction of cohomology theories for groups, Lie algebras, and associative algebras. This book presents a single homology (and also cohomology) theory that embodies all three; a large number of results is thus established in a general framework. Subsequently, each of the three theories is singled out by a suitable specialization, and its specific properties are studied.


The starting point is the notion of a module over a ring. The primary operations are the tensor product of two modules and the groups of all homomorphisms of one module into another. From these, "higher order" derived of operations are obtained, which enjoy all the properties usually attributed to homology theories. This leads in a natural way to the study of "functors" and of their "derived functors."


This mathematical masterpiece will appeal to all mathematicians working in algebraic topology.

About the Publisher

Princeton University Press

Princeton University Press

We seek to publish the innovative works of the greatest minds in academia, from the most respected senior scholar to the extraordinarily promising graduate student, in each of the disciplines in which we publish. The Press consciously acquires a collection of titles--a coherent "list" of books--in each discipline, providing focus, continuity, and a basis for the development of future publications.

Book information

ISBN: 9780691049915
Publisher: Princeton University Press
Imprint: Princeton University Press
Pub date:
DEWEY: 512.55
DEWEY edition: 23
Language: English
Number of pages: xv, 390
Weight: 620g
Height: 157mm
Width: 229mm
Spine width: 26mm