01948nam a22003138i 4500
CR9781139107181
UkCbUP
110706s2010||||enk o ||1 0|eng|d
9781139107181
9780521125727
(Sirsi) a792109
eng
512.44
22
Majadas, Javier,
author
Smoothness, regularity and complete intersection
[E-Book] /
Javier Majadas, Antonio G. Rodicio.
Cambridge :
Cambridge University Press,
2010
(CUP)
CUP20200108
1 online resource (vi, 134 pages)
text
txt
rdacontent
computer
c
rdamedia
online resource
cr
rdacarrier
London Mathematical Society lecture note series ;
373
englisch
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.
Commutative algebra.
Rodicio, Antonio G.,
author
https://doi.org/10.1017/CBO9781139107181
Volltext
CambridgeCore (Order 30059)
1
XX(792109.1)
AUTO
1
792109-1001
ELECTRONIC
ZB
N
Y
E-BOOK
8/1/2020
UNKNOWN
UNKNOWN
ONLINE