The Use of Ultraproducts in Commutative Algebra
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The work The Use of Ultraproducts in Commutative Algebra represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
The Use of Ultraproducts in Commutative Algebra
Resource Information
The work The Use of Ultraproducts in Commutative Algebra represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 The Use of Ultraproducts in Commutative Algebra
 Statement of responsibility
 by Hans Schoutens
 Language

 eng
 eng
 Summary
 In spite of some recent applications of ultraproducts in algebra, they remain largely unknown to commutative algebraists, in part because they do not preserve basic properties such as Noetherianity. This work wants to make a strong case against these prejudices. More precisely, it studies ultraproducts of Noetherian local rings from a purely algebraic perspective, as well as how they can be used to transfer results between the positive and zero characteristics, to derive uniform bounds, to define tight closure in characteristic zero, and to prove asymptotic versions of homological conjectures in mixed characteristic. Some of these results are obtained using variants called chromatic products, which are often even Noetherian. This book, neither assuming nor using any logical formalism, is intended for algebraists and geometers, in the hope of popularizing ultraproducts and their applications in algebra
 Dewey number
 512
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 4C4oseyYKek
 Image bit depth
 0
 Language note
 English
 LC call number
 QA251.3
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 1999
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