Finite Commutative Rings and Their Applications, Gilberto Bini; Flaminio Flamini

Автор: D. E. Dobbs
Название: Cech Cohomological Dimensions for Commutative Rings
ISBN: 3540049363 ISBN-13(EAN): 9783540049364
Издательство: Springer
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Автор: Frank De Meyer; Edward Ingraham
Название: Separable Algebras over Commutative Rings
ISBN: 3540053719 ISBN-13(EAN): 9783540053712
Издательство: Springer
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Автор: H. Marubayashi; Haruo Miyamoto; Akira Ueda
Название: Non-Commutative Valuation Rings and Semi-Hereditary Orders
ISBN: 0792345622 ISBN-13(EAN): 9780792345626
Издательство: Springer
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Описание: A summary of non-Noetherian orders in a simple Artinian ring. This book covers Dubrovin valuation rings and semi-hereditary orders, including Prufer and semi-local Bezout orders, which are considered, in a sense, as global theories of Dubrovin valuation rings.

Автор: Cornelius Greither
Название: Cyclic Galois Extensions of Commutative Rings
ISBN: 3540563504 ISBN-13(EAN): 9783540563501
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Описание: This exposition is aimed at readers with some background in either commutative algebra or algebraic number theory. Emphasis is placed on the notion of a normal basis, which allows researchers to view Leopoldt`s conjecture on number theory from a new angle.

Автор: W. Brandal
Название: Commutative Rings whose Finitely Generated Modules Decompose
ISBN: 3540095071 ISBN-13(EAN): 9783540095071
Издательство: Springer
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Автор: Sarah Glaz
Название: Commutative Coherent Rings
ISBN: 3540511156 ISBN-13(EAN): 9783540511151
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Описание: Offers a systematic treatment of the theory of commutative coherent rings. Starting with elementary results, this book advances to topics such as: uniform coherence, regular rings, rings of small homological dimensions, polynomial and power series rings, group rings and symmetric algebra over coherent rings.

Автор: H. Marubayashi; Haruo Miyamoto; Akira Ueda
Название: Non-Commutative Valuation Rings and Semi-Hereditary Orders
ISBN: 9048148537 ISBN-13(EAN): 9789048148530
Издательство: Springer
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Описание: Much progress has been made during the last decade on the subjects of non- commutative valuation rings, and of semi-hereditary and Priifer orders in a simple Artinian ring which are considered, in a sense, as global theories of non-commu- tative valuation rings. So it is worth to present a survey of the subjects in a self-contained way, which is the purpose of this book. Historically non-commutative valuation rings of division rings were first treat- ed systematically in Schilling's Book Sc], which are nowadays called invariant valuation rings, though invariant valuation rings can be traced back to Hasse's work in Has]. Since then, various attempts have been made to study the ideal theory of orders in finite dimensional algebras over fields and to describe the Brauer groups of fields by usage of "valuations," "places," "preplaces," "value functions" and "pseudoplaces." In 1984, N. 1. Dubrovin defined non-commutative valuation rings of simple Artinian rings with notion of places in the category of simple Artinian rings and obtained significant results on non-commutative valuation rings (named Dubrovin valuation rings after him) which signify that these rings may be the correct def- inition of valuation rings of simple Artinian rings. Dubrovin valuation rings of central simple algebras over fields are, however, not necessarily to be integral over their centers.

Автор: J. Carmona; J. Dixmier; M. Vergne
Название: Non-Commutative Harmonic Analysis
ISBN: 3540071830 ISBN-13(EAN): 9783540071839
Издательство: Springer
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Автор: F. van Oystaeyen
Название: Prime Spectra in Non-Commutative Algebra
ISBN: 3540071466 ISBN-13(EAN): 9783540071464
Издательство: Springer
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Автор: C. C. Graham; O. C. McGehee
Название: Essays in Commutative Harmonic Analysis
ISBN: 1461299780 ISBN-13(EAN): 9781461299783
Издательство: Springer
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Описание: This book considers various spaces and algebras made up of functions, measures, and other objects-situated always on one or another locally compact abelian group, and studied in the light of the Fourier transform.

Автор: J. Peetre; V.P. Khavin; Sh.A. Alimov; N.K. Nikol`s
Название: Commutative Harmonic Analysis IV
ISBN: 3642081037 ISBN-13(EAN): 9783642081033
Издательство: Springer
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Описание: With the groundwork laid in the first volume (EMS 15) of the Commutative Harmonic Analysis subseries of the Encyclopaedia, the present volume takes up four advanced topics in the subject: Littlewood-Paley theory for singular integrals, exceptional sets, multiple Fourier series and multiple Fourier integrals.

Автор: V.P. Havin; D. Dynin; V.P. Gurarii; S. Dynin; N.K.
Название: Commutative Harmonic Analysis II
ISBN: 3642638007 ISBN-13(EAN): 9783642638008
Издательство: Springer
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Описание: Classical harmonic analysis is an important part of modern physics and mathematics, comparable in its significance with calculus. Mathematical literature on harmonic analysis abounds in books of more or less abstract or concrete kind, but the lucky combination as in this volume can hardly be found.