An Introduction to Homological Algebra (Cambridge Studies in - download pdf or read online

Algebra

By Charles A. Weibel

ISBN-10: 0521435005

ISBN-13: 9780521435000

ISBN-10: 0521559871

ISBN-13: 9780521559874

The panorama of homological algebra has developed over the past half-century right into a basic software for the operating mathematician. This booklet offers a unified account of homological algebra because it exists this day. The historic reference to topology, ordinary neighborhood jewelry, and semi-simple Lie algebras also are defined. This ebook is acceptable for moment or 3rd yr graduate scholars. the 1st half 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 issues, resembling 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 subject matters which are an essential component 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 available, 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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