Homological Algebra
Homological Algebra
Princeton University Press | June 1, 1956 | ISBN-10: 0691079773 | 408 pages | DJVU | 10 Mb
Princeton University Press | June 1, 1956 | ISBN-10: 0691079773 | 408 pages | DJVU | 10 Mb
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.