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Smoothness, Regularity and Complete Intersection

Name: Smoothness, Regularity and Complete Intersection
Brand: Cambridge University Press
SKU: 04378282
Price: 53.94 EUR
Availability: InStock
Author: Javier Majadas
ISBN: 9780521125727

Javier Majadas

Language

English

Book Paperback

Libristo code: 04378282

Publishers Cambridge University Press, May 2010

Written to complement standard texts on commutative algebra, this short book gives complete and rela... Full description

Libristo code: 04378282

131 b

53.94 €

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Written 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.