Charles A. Weibel's An Introduction to Homological Algebra (Cambridge Studies in PDF

By Charles A. Weibel

ISBN-10: 0521435005

ISBN-13: 9780521435000

ISBN-10: 0521559871

ISBN-13: 9780521559874

The panorama of homological algebra has advanced over the past half-century right into a basic software for the operating mathematician. This publication offers a unified account of homological algebra because it exists this day. The historic reference to topology, common neighborhood earrings, and semi-simple Lie algebras also are defined. This e-book is acceptable for moment or 3rd yr graduate scholars. the 1st half the ebook takes as its topic the canonical issues in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of crew and Lie algebras illustrate those issues. Intermingled are much less canonical subject matters, comparable to the derived inverse restrict functor lim1, neighborhood cohomology, Galois cohomology, and affine Lie algebras. The final a part of the e-book covers much less conventional issues which are an integral part of the trendy homological toolkit: simplicial equipment, Hochschild and cyclic homology, derived different types and overall derived functors. by means of making those instruments extra available, the e-book is helping to collapse the technological barrier among specialists and informal clients of homological algebra.

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An Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics) by Charles A. Weibel

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