Download e-book for iPad: Ideals and Reality: Projective Modules and Number of by Friedrich Ischebeck,Ravi A. Rao

Algebra

By Friedrich Ischebeck,Ravi A. Rao

ISBN-10: 3540230327

ISBN-13: 9783540230328

ISBN-10: 3642061958

ISBN-13: 9783642061950

This monograph tells the tale of a philosophy of J-P. Serre and his imaginative and prescient of referring to that philosophy to difficulties in affine algebraic geometry. It provides a lucid presentation of the Quillen-Suslin theorem settling Serre's conjecture. The vital subject of the booklet is the query of no matter if a curve in $n$-space is as a suite an intersection of $(n-1)$ hypersurfaces, depicted via the principal theorems of Ferrand, Szpiro, Cowsik-Nori, Mohan Kumar, Boratýnsk. The ebook provides a accomplished advent to easy commutative algebra, including the comparable tools from homological algebra, in order to allow scholars who recognize simply the basics of algebra to benefit from the energy of utilizing those instruments. whilst, it additionally serves as a worthy reference for the study expert and as power direction fabric, as the authors current, for the 1st time in publication shape, an process right here that's an intermix of classical algebraic K-theory and whole intersection thoughts, making connections with the recognized result of Forster-Swan and Eisenbud-Evans. A learn of projective modules and their connections with topological vector bundles in a sort as a result of Vaserstein is incorporated. very important subsidiary effects look within the copious routines. Even this complicated fabric, offered comprehensively, retains in brain the younger pupil as capability reader along with the experts of the subject.

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Ideals and Reality: Projective Modules and Number of Generators of Ideals (Springer Monographs in Mathematics) by Friedrich Ischebeck,Ravi A. Rao


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