# an introduction to noncommutative noetherian rings london mathematical society student texts

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## An Introduction To Noncommutative Noetherian Rings

**Author :**K. R. Goodearl

**ISBN :**0521545374

**Genre :**Mathematics

**File Size :**62. 30 MB

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This introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. New material includes the basic types of quantum groups, which then serve as test cases for the theory developed.

## New Trends In Noncommutative Algebra

**Author :**K. R. Goodearl

**ISBN :**9780821852972

**Genre :**Mathematics

**File Size :**58. 86 MB

**Format :**PDF, ePub

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This volume contains the proceedings of the conference ``New Trends in Noncommutative Algebra'', held at the University of Washington, Seattle, in August 2010, in honor of Ken Goodearl's 65th birthday. The articles reflect the wide interests of Goodearl and will provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Calabi-Yau algebras, quantum algebras and deformation quantization, Poisson algebras, growth of algebras, group algebras, and noncommutative Iwasawa algebras.

## Advances In Rings And Modules

**Author :**Sergio R. López-Permouth

**ISBN :**9781470435554

**Genre :**Modules (Algebra)

**File Size :**39. 68 MB

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This volume, dedicated to Bruno J. Müller, a renowned algebraist, is a collection of papers that provide a snapshot of the diversity of themes and applications that interest algebraists today. The papers highlight the latest progress in ring and module research and present work done on the frontiers of the topics discussed. In addition, selected expository articles are included to give algebraists and other mathematicians, including graduate students, an accessible introduction to areas that may be outside their own expertise.

## Algebras Rings And Modules

**Author :**Michiel Hazewinkel

**ISBN :**9781482245059

**Genre :**Mathematics

**File Size :**43. 83 MB

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The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth century. This volume is a continuation and an in-depth study, stressing the non-commutative nature of the first two volumes of Algebras, Rings and Modules by M. Hazewinkel, N. Gubareni, and V. V. Kirichenko. It is largely independent of the other volumes. The relevant constructions and results from earlier volumes have been presented in this volume.

## Lmsst 24 Lectures On Elliptic Curves

**Author :**John William Scott Cassels

**ISBN :**0521425301

**Genre :**Mathematics

**File Size :**22. 95 MB

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The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in number theory. This book, addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Wei finite basis theorem, points of finite order (Nagell-Lutz), etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to a Hasse principle. In an introductory section the Hasse principle for conics is discussed. The book closes with sections on the theory over finite fields (the "Riemann hypothesis for function fields") and recently developed uses of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory is assumed, but no knowledge either of algebraic number theory or algebraic geometry is needed. The p-adic numbers are introduced from scratch. Many examples and exercises are included for the reader, and those new to elliptic curves, whether they are graduate students or specialists from other fields, will find this a valuable introduction.

## Hyperbolic Geometry

**Author :**Birger Iversen

**ISBN :**9780521435086

**Genre :**Mathematics

**File Size :**73. 10 MB

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Although it arose from purely theoretical considerations of the underlying axioms of geometry, the work of Einstein and Dirac has demonstrated that hyperbolic geometry is a fundamental aspect of modern physics. In this book, the rich geometry of the hyperbolic plane is studied in detail, leading to the focal point of the book, Poincare's polygon theorem and the relationship between hyperbolic geometries and discrete groups of isometries. Hyperbolic 3-space is also discussed, and the directions that current research in this field is taking are sketched. This will be an excellent introduction to hyperbolic geometry for students new to the subject, and for experts in other fields.

## Associated And Attached Primes Over Noncommutative Rings

**Author :**Scott Arthur Annin

**ISBN :**UCAL:C3481974

**Genre :**

**File Size :**64. 4 MB

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## Journal Of Physics A Mathematical And General

**Author :**

**ISBN :**UCAL:B4491437

**Genre :**

**File Size :**41. 51 MB

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## Dynamical Systems And Ergodic Theory

**Author :**Mark Pollicott

**ISBN :**0521575990

**Genre :**Mathematics

**File Size :**72. 71 MB

**Format :**PDF

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This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der Waerden's theorem and Szemerdi's theorem).

## Israel Journal Of Mathematics

**Author :**Moʻatsah ha-leʼumit le-meḥḳar ule-fituaḥ (Israel)

**ISBN :**UCBK:C078316140

**Genre :**Mathematics

**File Size :**23. 20 MB

**Format :**PDF, ePub

**Download :**276

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