| 书目名称 | Exercises in Classical Ring Theory | | 编辑 | T. Y. Lam | | 视频video | | | 丛书名称 | Problem Books in Mathematics | | 图书封面 |  | | 描述 | " 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, | | 出版日期 | Book 2003Latest edition | | 关键词 | algebra; category theory; field; representation theory; ring theory | | 版次 | 2 | | doi | https://doi.org/10.1007/b97448 | | isbn_softcover | 978-1-4419-1829-1 | | isbn_ebook | 978-0-387-21771-0Series ISSN 0941-3502 Series E-ISSN 2197-8506 | | issn_series | 0941-3502 | | copyright | Springer Science+Business Media New York 2003 |
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发表于 2025-3-21 19:35:01
