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 ...
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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.
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New. Sewn binding. Cloth over boards. 416 p. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Add this copy of Homological Algebra to cart. $38.20, good condition, Sold by Munster & Company rated 4.0 out of 5 stars, ships from Corvallis, OR, UNITED STATES, published 1956 by Princeton University Press.
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Good. Princeton University Press, 1956. Cover lightly rubbed/bumped and very lightly soiled, corners and spine ends lightly rubbed/bumped; edges very lightly rubbed/bumped/soiled, damp stains on top edge; previous owner's name neatly written in blue ink on front pastedown and previous owner's name and addres neatly stickered and crossed out with black ink on ffep, minor damp stains at the top of most pages; binding tight; cover, edges and interior clean and intact except where noted. hardcover. Good.
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Very Good. 1956. Hardcover. Cloth, no dj. Faint staining, scuffing, and edge wear to boards; corners a tad bumped. Hinges starting to loosen but holding. Former owner's signature on front paste down. Else clean and bright. Very Good. (Subject: Mathematics).