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OverviewWritten to complement standard texts on commutative algebra, this short book gives complete and relatively easy proofs of important results, including the standard results involving localisation of formal smoothness (M. André) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and André on regular homomorphisms, and some results from A. Grothendieck's EGA on smooth homomorphisms. The authors make extensive use of the André–Quillen homology of commutative algebras, but only up to dimension 2, which is easy to construct, and they deliberately avoid using simplicial methods. The book also serves as an accessible introduction to some advanced topics and techniques. The only prerequisites are a basic course in commutative algebra and the first definitions in homological algebra. Full Product DetailsAuthor: Javier Majadas , Antonio G. RodicioPublisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) Volume: 373 ISBN: 9781139107181ISBN 10: 1139107186 Publication Date: 07 September 2011 Audience: Professional and scholarly , Professional & Vocational Format: Undefined Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsIntroduction; 1. Definition and first properties of (co-)homology modules; 2. Formally smooth homomorphisms; 3. Structure of complete noetherian local rings; 4. Complete intersections; 5. Regular homomorphisms: Popescu's theorem; 6. Localization of formal smoothness; Appendix: some exact sequences; Bibliography; Index.ReviewsThis book makes for a useful addition to the (rather meager) literature on the uses of Andr -Quillen homology and cohomology in commutative algebra and algebraic geometry. Srikanth B. Iyengar, Mathematical Reviews Author InformationJavier Majadas is Professor at the University of Santiago de Compostela, Spain. Antonio G. Rodicio is Professor at the University of Santiago de Compostela, Spain. Tab Content 6Author Website:Countries AvailableAll regions |
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