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A First Course in Noncommutative Rings, T.Y. Lam


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Автор: T.Y. Lam
Название:  A First Course in Noncommutative Rings
ISBN: 9781468404081
Издательство: Springer
Классификация:
ISBN-10: 1468404083
Обложка/Формат: Paperback
Страницы: 397
Вес: 0.58 кг.
Дата издания: 04.03.2012
Серия: Graduate Texts in Mathematics
Язык: English
Размер: 234 x 156 x 22
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. This book is an outgrowth of my lectures in these two courses, and is intended for use by instructors and graduate students in a similar one-semester course in basic ring theory.

Ring theory is a subject of central importance in algebra. Historically, some of the major discoveries in ring theory have helped shape the course of development of modern abstract algebra. Today, ring theory is a fer tile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential op erators, invariant theory), arithmetic (orders, Brauer groups), universal algebra (varieties of rings), and homological algebra (cohomology of rings, projective modules, Grothendieck and higher K-groups).

In view of these basic connections between ring theory and other branches of mathemat ics, it is perhaps no exaggeration to say that a course in ring theory is an indispensable part of the education for any fledgling algebraist. The purpose of my lectures was to give a general introduction to the theory of rings, building on what the students have learned from a stan dard first-year graduate course in abstract algebra.




Noncommutative Rings

Автор: Susan Montgomery; Lance Small
Название: Noncommutative Rings
ISBN: 1461397383 ISBN-13(EAN): 9781461397380
Издательство: Springer
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Цена: 16769.00 р.
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Описание: . . . . . . . . . . . . . . . . . . . . . . . . Vll . . . . . . . . . . . . . . . . . . . . 27 . . . Lorenz CROSSED PRODUCTS: CHARACTERS, CYCLIC HOMOLOGY, AND GROTHENDIECK GROUPS . . . . . . . . . . . . . . . 69 . . .

Noncommutative Harmonic Analysis

Автор: Patrick Delorme; Mich?le Vergne
Название: Noncommutative Harmonic Analysis
ISBN: 1461264898 ISBN-13(EAN): 9781461264897
Издательство: Springer
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Цена: 6986.00 р.
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Описание:

Dedicated to Jacques Carmona, an expert in noncommutative harmonic analysis, the volume presents excellent invited/refereed articles by top notch mathematicians. Topics cover general Lie theory, reductive Lie groups, harmonic analysis and the Langlands program, automorphic forms, and Kontsevich quantization. Good text for researchers and grad students in representation theory.

Noncommutative Algebra

Автор: Benson Farb; R. Keith Dennis
Название: Noncommutative Algebra
ISBN: 1461269369 ISBN-13(EAN): 9781461269366
Издательство: Springer
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Цена: 9083.00 р.
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Описание: About This Book This book is meant to be used by beginning graduate students. It covers basic material needed by any student of algebra, and is essential to those specializing in ring theory, homological algebra, representation theory and K-theory, among others. It will also be of interest to students of algebraic topology, functional analysis, differential geometry and number theory.

Our approach is more homological than ring-theoretic, as this leads the to many important areas of mathematics. This ap student more quickly proach is also, we believe, cleaner and easier to understand. However, the more classical, ring-theoretic approach, as well as modern extensions, are also presented via several exercises and sections in Chapter Five.

We have tried not to leave any gaps on the paths to proving the main theorem- at most we ask the reader to fill in details for some of the sideline results; indeed this can be a fruitful way of solidifying one's understanding.

Representation Theory and Noncommutative Harmonic Analysis II

Автор: G.van Dijk; A.A. Kirillov; A.U. Klimyk; V.F. Molch
Название: Representation Theory and Noncommutative Harmonic Analysis II
ISBN: 3540547029 ISBN-13(EAN): 9783540547020
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.

Quantum Field Theory and Noncommutative Geometry

Автор: Ursula Carow-Watamura; Yoshiaki Maeda; Satoshi Wat
Название: Quantum Field Theory and Noncommutative Geometry
ISBN: 3540239006 ISBN-13(EAN): 9783540239000
Издательство: Springer
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Цена: 9776.00 р.
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Описание: This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field theory using the mathematical tools of q-deformed algebras and noncommutative differential geometry.

An Introduction to Noncommutative Spaces and Their Geometries

Автор: Giovanni Landi
Название: An Introduction to Noncommutative Spaces and Their Geometries
ISBN: 3662141094 ISBN-13(EAN): 9783662141090
Издательство: Springer
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Цена: 11753.00 р.
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Описание: These lecture notes are an introduction to several ideas and applications of noncommutative geometry. It starts with a not necessarily commutative but associative algebra which is thought of as the algebra of functions on some `virtual noncommutative space`.

Noncommutative Probability

Автор: I. Cuculescu; A.G. Oprea
Название: Noncommutative Probability
ISBN: 0792331338 ISBN-13(EAN): 9780792331339
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This volume introduces the subject of noncommutative probability from a mathematical point of view based on the idea of generalizing fundamental theorems in classical probability theory. It contains topics including von Neumann algebras, Fock spaces, free independence and Jordan algebras.

Noncommutative Geometry and Number Theory

Автор: Caterina Consani; Klas Diederich; Matilde Marcolli
Название: Noncommutative Geometry and Number Theory
ISBN: 3834826731 ISBN-13(EAN): 9783834826732
Издательство: Springer
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Цена: 11101.00 р.
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Описание: In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. Research across these ?elds has now reached an imp- tant turning point, as shows the increasing interest with which the mathematical community approaches these topics. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new c- nections between the ?elds of number theory, algebraic geometry and noncom- tative geometry. Thecontributionstothisvolumepartlyre?ectthetwoworkshops"Noncom- tative Geometry and Number Theory" that took place at the Max-Planck-Institut f] ur Mathematik in Bonn, in August 2003 and June 2004. The two workshops were the ?rst activity entirely dedicated to the interplay between these two ?elds of mathematics. An important part of the activities, which is also re?ected in this volume, came from the hindsight of physics which often provides new perspectives onnumber theoretic problems that make it possible to employ the tools of nonc- mutative geometry, well designed to describe the quantum world.


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