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By Charles A. Weibel

The panorama of homological algebra has developed over the past half-century right into a primary instrument for the operating mathematician. This publication presents a unified account of homological algebra because it exists this day. The ancient reference to topology, average neighborhood jewelry, and semi-simple Lie algebras also are defined. This ebook is appropriate for moment or 3rd 12 months graduate scholars. the 1st half the e-book takes as its topic the canonical issues in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of staff and Lie algebras illustrate those themes. Intermingled are much less canonical subject matters, corresponding to the derived inverse restrict functor lim1, neighborhood cohomology, Galois cohomology, and affine Lie algebras. The final a part of the publication covers much less conventional subject matters which are an essential component of the trendy homological toolkit: simplicial equipment, Hochschild and cyclic homology, derived different types and overall derived functors. by way of making those instruments extra available, the booklet 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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