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

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

By Charles A. Weibel

The panorama of homological algebra has advanced during the last half-century right into a primary device for the operating mathematician. This publication offers a unified account of homological algebra because it exists at the present time. The old reference to topology, general neighborhood earrings, and semi-simple Lie algebras also are defined. This e-book is appropriate for moment or 3rd 12 months graduate scholars. the 1st 1/2 the publication takes as its topic the canonical subject matters in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of team and Lie algebras illustrate those themes. Intermingled are much less canonical themes, similar to the derived inverse restrict functor lim1, neighborhood cohomology, Galois cohomology, and affine Lie algebras. The final a part of the booklet covers much less conventional issues which are an integral part of the fashionable homological toolkit: simplicial equipment, Hochschild and cyclic homology, derived different types and overall derived functors. by means of making those instruments extra obtainable, the publication 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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