Exercises in classical ring theory
- 作者: Lam, T. Y.
- 出版: New York : Springer ©2003.
- 版本: 2nd ed.
- 稽核項: 1 online resource (xix, 359 pages).
- 叢書名: Problem books in mathematics
- 標題: MATHEMATICS , Electronic books. , Rings (Algebra) , MATHEMATICS Algebra -- Intermediate. , AlgebraIntermediate.
- ISBN: 0387217711 , 9780387217710
- ISBN: 0387005005 , 9780387005003
- 試查全文@TNUA:
- 附註: Includes indexes. Includes bibliographical references and index. Preface -- Notes to the Reader -- Wedderburn-Artin Theory -- Jacobson Radical Theory -- Introduction to Representation Theory -- Prime and Primitive Rings -- Introduction to Division Rings -- Ordered Structures in Rings -- Local Rings, Semilocal Rings, and Idempotents, Perfect and Semiperfect Rings -- Name Index -- Subject Index.
- 摘要: "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)
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=107912
- 系統號: 005308737
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
" 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)
來源: Google Book
來源: Google Book
評分
