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Smoothness, regularity and complete intersection.

9780521125727

Smoothness, regularity and complete intersection.

Majadas, Javier and Antonio G. Rodicio.

Cambridge U. Press

2010

133 pages

$50.00

Paperback

London Mathematical Society lecture note series; 373

QA251

There are important theorems that are commonly treated in advanced books on commutative algebra without proofs, because the existing proofs are so difficult, say Majadas and Rodicio (both U. de Santiago de Compostela, Spain). They provide homological proofs for a number of them, modifying the original proofs that involve simplicial methods, so they use only lower dimensional homology modules that they can introduce in an ad hoc manner, thus avoiding simplicial theory altogether. They cover the definition and first properties of homology and co-homology modules, formally smooth homomorphisms, the structure of complete noetherian local rings, complete intersections, Popescu's theorem of regular homomorphisms, and the localization of formal smoothness.

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Publication:SciTech Book News
Article Type:Book review
Date:Sep 1, 2010
Words:144
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