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Introduction to logical Algebra (Cambridge Studies in Advanced Mathematics)

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The landscape of logical algebra has evolved over the past half-century into a fundamental tool for the working mathematician. This book provides a unified account of logical algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras is also described. The first half of the book takes as its subject the canonical topics in logical algebra: derived functors, Tor and Ext, projective dimensions and spectral sequences. logy of group and Lie algebras illustrate these topics. Intermingled are less canonical topics, such as the derived inverse limit functor lim1, local cology, Galois cology, and affine Lie algebras. The last part of the book covers less traditional topics that are a vital part of the modern logical toolkit: simplicial methods, Hochschild and cyclic logy, derived categories and total derived functors.
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