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Smoothness, Regularity and Complete Intersection

Smoothness, Regularity and Complete Intersection

Paperback

Series: London Mathematical Society Lecture Note, Book 373

Algebra

ISBN10: 0521125723
ISBN13: 9780521125727
Publisher: Cambridge
Published: Jul 1 2010
Pages: 140
Weight: 0.50
Height: 0.40 Width: 5.90 Depth: 8.80
Language: English
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.

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Algebra