An Introduction to Homological Algebra : Cambridge Studies in Advanced Mathematics Series, Book 38 by Charles A. Weibel

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  • Title: An Introduction to Homological Algebra : Cambridge Research in Superior Arithmetic Sequence, E book 38
  • Author: Charles A. Weibel
  • Category: Different
  • Date: Dec 2012
  • Lenguage: English
  • Pages: unknown
  • ISBN: ISBN: 9781139635844

 

Ebook description:

The panorama of homological algebra has advanced over the past half-century right into a basic instrument for the working mathematician. This e-book gives a unified account of homological algebra because it exists at present. The historic reference to topology, common native rings, and semi-simple Lie algebras are additionally described. This e-book is appropriate for second or third 12 months graduate college students. The primary half of the e-book takes as its topic the canonical subjects in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of group and Lie algebras illustrate these subjects. Intermingled are much less canonical subjects, such because the derived inverse restrict functor lim1, native cohomology, Galois cohomology, and affine Lie algebras. The final a part of the e-book covers much less conventional subjects which can be an important a part of the trendy homological toolkit: simplicial strategies, Hochschild and cyclic homology, derived classes and whole derived functors. By making these instruments more accessible, the e-book helps to interrupt down the technological barrier between consultants and informal customers of homological algebra.

 

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