| Smoothness, Regularity and Complete Intersection Contributor(s): Majadas, Javier (Author), Rodicio, Antonio G. (Author) |
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ISBN: 1139107186 ISBN-13: 9781139107181 Publisher: Cambridge University Press OUR PRICE: $140.25 Product Type: Open Ebook - Other Formats Published: September 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General |
| Dewey: 512 |
| Series: London Mathematical Society Lecture Note |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 of complete intersections (L. Avramov), some important results of D. Popescu and Andr on regular homomorphisms, and some results from A. Grothendieck's 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. |
Contributor Bio(s): Majadas, Javier: - Javier Majadas is Professor at the University of Santiago de Compostela, Spain.Rodicio, Antonio G.: - Antonio G. Rodicio is Professor at the University of Santiago de Compostela, Spain. |