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Smoothness, Regularity and Complete Intersection Javier Majadas

Smoothness, Regularity and Complete Intersection

Javier Majadas

Published July 1st 2010
ISBN : 9780521125727
Paperback
134 pages
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 About the Book 

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. Andr ) and localisation ofMoreWritten 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. Andr ) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and Andr on regular homomorphisms, and some results from A. Grothendiecks EGA on smooth homomorphisms. The authors make extensive use of the Andr 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.