Smoothness, Regularity and Complete Intersection (Paperback) (ISBN-13: 9780521125727)

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.

Author: Javier Majadas,Antonio G. Rodicio
ISBN-10: 0521125723
ISBN-13: 9780521125727
Publisher: Cambridge University Press
Language: English
Published: 07/01/2010
Pages: 140
Format: Paperback
Weight: 0.50lbs
Size: 8.80h x 5.90w x 0.40d