Smoothness Regularity and Complete Intersection 2010 Edition at Meripustak

Smoothness Regularity and Complete Intersection 2010 Edition

Books from same Author: Javier Majadas, Antonio G. Rodicio

Books from same Publisher: Cambridge

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  • General Information  
    Author(s)Javier Majadas, Antonio G. Rodicio
    PublisherCambridge
    ISBN9780521125727
    Pages140
    BindingPaperback
    LanguageEnglish
    Publish YearJuly 2010

    Description

    Cambridge Smoothness Regularity and Complete Intersection 2010 Edition by 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.