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Smoothness, regularity and complete intersection [E-Book] / 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. André) and localisation of complete intersections (L. Avramov), some important r...

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Personal Name(s): Majadas, Javier, author
Rodicio, Antonio G., author
Imprint: Cambridge : Cambridge University Press, 2010
Physical Description: 1 online resource (vi, 134 pages)
Note: englisch
ISBN: 9781139107181
9780521125727
Series Title: London Mathematical Society lecture note series ; 373
Subject (LOC):
Commutative algebra.
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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.

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