000			02029 a2200265 4500
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008			251206b |||||||| |||| 00| 0 eng d
020			_a9780691049915
082			_a513.83 CAR
100			_aCartan, Henri
245			_aHomological algebra
260			_aPrinceton, New Jersey: _bPrinceton University Press, _c1999.
300			_axv, 390p.: _bpbk.: _c23 cm
440			_aPrinceton Landmarks in Mathematics and Physics
504			_aInclude Index
520			_aWhen 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.” https://press.princeton.edu/books/paperback/9780691049915/homological-algebra?srsltid=AfmBOooWFqQOjyRP7Eq8WIjNWOh2tnHGc5blXX--jlUh8luESM-Mr27-
650			_aAlgebraic Topology
650			_aCohomology Theory
650			_aPure Algebra
650			_aModule Theory
650			_aRing And Module Structures
650			_aTensor Products
700			_a Eilenberg, Samuel _eCo-author
942			_cTD _2ddc
999			_c64132 _d64132