Prime Spectra in Non Commutative Algebra

In Section III we construct a presheaf of noncommutative rings on the prime spectrum, Spec R, of a left Noetherian ring. If R is a prime ring then this presheaf is a sheaf and Spec R is then said to be an affine scheme.

Prime Spectra in Non Commutative Algebra


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Prime Spectra in Non-Commutative Algebra
Language: en
Pages: 132
Authors: F. van Oystaeyen
Categories: Mathematics
Type: BOOK - Published: 2006-11-15 - Publisher: Springer

Books about Prime Spectra in Non-Commutative Algebra
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Language: en
Pages: 218
Authors: Hidetoshi Marubayashi, Fred Van Oystaeyen
Categories: Mathematics
Type: BOOK - Published: 2012-08-21 - Publisher: Springer

Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves. But the noncommutative equivalent is mainly applied to finite dimensional skewfields. Recently however, new types of algebras have become popular in modern algebra; Weyl algebras,
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Pages: 272
Authors: Corrado De Concini, Freddy Van Oystaeyen, Nikolai Vavilov, Anatoly Yakovlev
Categories: Mathematics
Type: BOOK - Published: 2005-09-01 - Publisher: CRC Press

A valuable addition to the Lecture Notes in Pure and Applied Mathematics series, this reference results from a conference held in St. Petersburg, Russia, in honor of Dr. Z. Borevich. This volume is mainly devoted to the contributions related to the European Science Foundation workshop, organized under the framework of
Non-commutative Algebraic Geometry
Language: en
Pages: 408
Authors: F.M.J. van Oystaeyen, A.H.M.J. Verschoren
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Books about Non-commutative Algebraic Geometry
Abelian Groups and Noncommutative Rings
Language: en
Pages: 394
Authors: László Fuchs
Categories: Mathematics
Type: BOOK - Published: 1992 - Publisher: American Mathematical Soc.

This collection of research papers is dedicated to the memory of the distinguished algebraist Robert B. Warfield, Jr. Focusing on abelian group theory and noncommutative ring theory, the book covers a wide range of topics reflecting Warfield's interests and includes two articles surveying his contributions to mathematics. Because the articles