Originally published in 1985, this classic textbook is an English translation of EinfA¼hrung in die kommutative Algebra und algebraische Geometrie. As part of the Modern BirkhAcuser Classics series, the publisher is proud to make Introduction to Commutative Algebra and Algebraic Geometry available to a wider audience. Aimed at students who have taken a basic course in algebra, the goal of the text is to present important results concerning the representation of algebraic varieties as intersections of the least possible number of hypersurfaces andaa closely related problemawith the most economical generation of ideals in Noetherian rings. Along the way, one encounters many basic concepts of commutative algebra and algebraic geometry and proves many facts which can then serve as a basic stock for a deeper study of these subjects.If homomorphisms as : M a N (i = 1, 2) are given (in the opposite direction), then we define the fiber product (P, 61, 62) of M1 and M2 over N by the aduala conditions: 6 : P a Mi (i = 1, 2) are R-linear mappings with o1 o 61 = o2 off2, and for everyanbsp;...
|Title||:||Introduction to Commutative Algebra and Algebraic Geometry|
|Publisher||:||Springer Science & Business Media - 2012-11-06|