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  1. Bog
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  3. Algebra

Homological Algebra

Af: Samuel Eilenberg, Henri Cartan Engelsk Paperback

Homological Algebra

Af: Samuel Eilenberg, Henri Cartan Engelsk Paperback
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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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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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 408
ISBN-13: 9780691049915
Indbinding: Paperback
Udgave:
ISBN-10: 0691049912
Kategori: Algebra
Udg. Dato: 19 dec 1999
Længde: 26mm
Bredde: 229mm
Højde: 157mm
Forlag: Princeton University Press
Oplagsdato: 19 dec 1999
Forfatter(e): Samuel Eilenberg, Henri Cartan
Forfatter(e) Samuel Eilenberg, Henri Cartan

Kategori Algebra

ISBN-13 9780691049915

Sprog Engelsk

Indbinding Paperback

Sider 408

Udgave

Længde 26mm

Bredde 229mm

Højde 157mm

Udg. Dato 19 dec 1999

Oplagsdato 19 dec 1999

Forlag Princeton University Press

Kategori sammenhænge