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.
"synopsis" may belong to another edition of this title.
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.
"About this title" may belong to another edition of this title.
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Paperback. Condition: new. Paperback. they deliberately avoid using simplicial methods. The book also serves as 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 Andre-Quillen homology of commutative algebras. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521125727
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