TY  - BOOK
AU  - Majadas,Javier
AU  - Rodicio,Antonio G.
TI  - Smoothness, regularity and complete intersection
T2  - London Mathematical Society lecture note series
SN  - 9781139107181 (ebook)
AV  - QA251.3 .M35 2010
U1  - 512.44 22
PY  - 2010///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Commutative algebra
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9781139107181
ER  -