Smoothness, Regularity and Complete Intersection

Javier Majadas

ISBN 10: 0521125723 / ISBN 13: 9780521125727

Verlag: Cambridge University Press, 2010

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - 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.

Bestandsnummer des Verkäufers 9780521125727

Bibliografische Details

• Titel: Smoothness, Regularity and Complete Intersection
• Verlag: Cambridge University Press
• Erscheinungsjahr: 2010
• Sprache: Englisch
• ISBN-10: 0521125723
• ISBN-13: 9780521125727
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

This short book gives complete and relatively easy proofs of well-known important results found in standard books on commutative algebra. It also serves as a friendly introduction to the powerful methods used in the André-Quillen homology of commutative algebras.

Über die Autorinnen und Autoren

Javier Majadas is Professor at the University of Santiago de Compostela, Spain.

Antonio G. Rodicio is Professor at the University of Santiago de Compostela, Spain.