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Exercises in Classical Ring Theory, T.Y. Lam


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Автор: T.Y. Lam
Название:  Exercises in Classical Ring Theory
ISBN: 9781441918291
Издательство: Springer
Классификация:
ISBN-10: 1441918299
Обложка/Формат: Paperback
Страницы: 364
Вес: 0.54 кг.
Дата издания: 29.11.2010
Серия: Problem Books in Mathematics
Язык: English
Размер: 234 x 156 x 20
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This useful book, which grew out of the authors lectures at Berkeley, presents some 400 exercises of varying degrees of difficulty in classical ring theory, together with complete solutions, background information, historical commentary, bibliographic details, and indications of possible improvements or generalizations. The book should be especially helpful to graduate students as a model of the problem-solving process and an illustration of the applications of different theorems in ring theory. The author also discusses the folklore of the subject: the tricks of the trade in ring theory, which are well known to the experts in the field but may not be familiar to others, and for which there is usually no good reference. The problems are from the following areas: the Wedderburn-Artin theory of semisimple rings, the Jacobson radical, representation theory of groups and algebras, (semi)prime rings, (semi)primitive rings, division rings, ordered rings, (semi)local rings, the theory of idempotents, and (semi)perfect rings. Problems in the areas of module theory, category theory, and rings of quotients are not included, since they will appear in a later book. T. W. Hungerford, Mathematical Reviews


Classical Groups, Derangements and Primes

Автор: Burness
Название: Classical Groups, Derangements and Primes
ISBN: 1107629446 ISBN-13(EAN): 9781107629448
Издательство: Cambridge Academ
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Цена: 9186.00 р.
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Описание: This book provides an accessible graduate-level introduction to the finite classical groups and gives the first unified account of conjugacy and geometry of elements of prime order. The authors also provide a detailed discussion of derangements, making this book an essential resource for all researchers interested in permutation groups.

Lectures on classical and quantum theory of fields

Автор: Arodz, Henryk Hadasz, Leszek
Название: Lectures on classical and quantum theory of fields
ISBN: 3642422624 ISBN-13(EAN): 9783642422621
Издательство: Springer
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Цена: 9141.00 р.
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Описание: Including didactic introductions to the main topics in the theory of fields, this text gives students of the subject concise explanations of the fundamentals essential for applying the theory as well as covering frontier research in theoretical physics.

Classical Summability Theory

Автор: P.N. Natarajan
Название: Classical Summability Theory
ISBN: 9811042047 ISBN-13(EAN): 9789811042041
Издательство: Springer
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Цена: 11878.00 р.
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Описание: This book presents results about certain summability methods, such as the Abel method, the Norlund method, the Weighted mean method, the Euler method and the Natarajan method, which have not appeared in many standard books.

Classical Theory of Algebraic Numbers

Автор: Paulo Ribenboim
Название: Classical Theory of Algebraic Numbers
ISBN: 1441928707 ISBN-13(EAN): 9781441928702
Издательство: Springer
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Цена: 10480.00 р.
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Описание: This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked out numerical examples. The introduction is a recapitulation of results about principal ideal domains, unique factorization domains and commutative fields. Part one is devoted to residue classes and quadratic residues. In part two one finds the study of algebraic integers, ideals, units, class numbers, the theory of decomposition, inertia and ramification of ideals. part three is devoted to Kummers theory of cyclotomic fields, and includes Bernoulli numbers and the proof of Fermats Last Theorem for regular prime exponents. Finally, in part four, the emphasis is on analytical methods and it includes Dirichlets Theorem on primes in arithmetic progressions, the theorem of Chebotarev and class number formulas. A careful study of this book will provide a solid background to the learning of more recent topics, as suggested at the end of the book.

Classical Topology and Combinatorial Group Theory

Автор: John Stillwell
Название: Classical Topology and Combinatorial Group Theory
ISBN: 1461287499 ISBN-13(EAN): 9781461287490
Издательство: Springer
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Цена: 9357.00 р.
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Exercises in Group Theory

Автор: E. Lyapin
Название: Exercises in Group Theory
ISBN: 146134591X ISBN-13(EAN): 9781461345916
Издательство: Springer
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Цена: 12157.00 р.
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Описание: 2) I have changed some of the terminology slightly in order to conform with present English usage (e.g., "inverses" instead of "regular conjugates"). Special thanks are extended to Professor Lesokhin for his errata list and for writing the Foreword to the English Edition.


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