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Smoothness, Regularity, and Complete Intersection

Javier Majadas, Antonio G. Rodicio

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ISBN 10: 0521125723 / ISBN 13: 9780521125727
Editorial: Cambridge University Press
Nuevos Condición: new Encuadernación de tapa blanda
Librería: THE SAINT BOOKSTORE (Southport, Reino Unido)

Librería en AbeBooks desde: 14 de junio de 2006

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Descripción

BRAND NEW, Smoothness, Regularity, and Complete Intersection, Javier Majadas, Antonio G. Rodicio, 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. Andre) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and Andre on regular homomorphisms, and some results from A. Grothendieck's EGA on smooth homomorphisms. The authors make extensive use of the Andre-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. N° de ref. de la librería B9780521125727

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Detalles bibliográficos

Título: Smoothness, Regularity, and Complete ...

Editorial: Cambridge University Press

Encuadernación: Paperback

Condición del libro:new

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Sinopsis:

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.

Book Description:

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.

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