株式会社極東書店トップ ＞ 商品一覧 ＞ Exercises in Classical Ring Theory. Softcover reprint of hardcover 2nd ed. 2003.
商品詳細
Exercises in Classical Ring Theory. Softcover reprint of hardcover 2nd ed. 2003.
・ISBN 978-1-4419-1829-1 paper EUR 109.99
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お気に入り
★★★
| 著者・編者 | Lam, T.Y., |
|---|---|
| シリーズ | Problem Books in Mathematics |
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 2010 |
| ページ数 | 364 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-20852＞ |
解説
" This useful book, which grew out of the author's 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)
(T. W. Hungerford, Mathematical Reviews)