Smoothness, Regularity and Complete Intersection / Javier Majadas, Antonio G. Rodicio.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 373Publisher: Cambridge : Cambridge University Press, 2010Description: 1 online resource (140 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9781139107181 (ebook)Other title: Smoothness, Regularity & Complete IntersectionSubject(s): Commutative algebraAdditional physical formats: Print version: : No titleDDC classification: n/a LOC classification: QA251.3 | .M35 2010Online resources: Click here to access online Summary: 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12152 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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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