By Charles A. Weibel
The panorama of homological algebra has developed over the last half-century right into a basic device for the operating mathematician. This ebook offers a unified account of homological algebra because it exists this day. The ancient reference to topology, usual neighborhood jewelry, and semi-simple Lie algebras can also be defined. the 1st 1/2 the ebook takes as its topic the canonical themes in homological algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. Homology of team and Lie algebras illustrate those subject matters. Intermingled are much less canonical issues, reminiscent of 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 tools, Hochschild and cyclic homology, derived different types and overall derived functors.
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