Mendeley出力
＜図書＞
Introductory lectures on rings and modules
| 責任表示 | John A. Beachy |
|---|---|
| シリーズ | London Mathematical Society student texts ; 47 |
| データ種別 | 図書 |
| 出版情報 | Cambridge : Cambridge University Press , 1999 |
| 本文言語 | 英語 |
| 大きさ | viii, 238 p. ; 24 cm |
| 概要 | The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interes... include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates. The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a background in basic abstract algebra. Features of interest include an early introduction of projective and injective modules; a module theoretic approach to the Jacobson radical and the Artin-Wedderburn theorem; the use of Baer's criterion for injectivity to prove the structure theorem for finitely generated modules over a principal ideal domain; and applications of the general theory to the representation theory of finite groups. Optional material includes a section on modules over the Weyl algebras and a section on Goldie's theorem. When compared to other more encyclopedic texts, the sharp focus of this book accommodates students meeting this material for the first time. It can be used as a first-year graduate text or as a reference for advanced undergraduates. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6847119 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
|---|---|---|---|---|---|---|---|---|---|---|
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: hbk | 理系図3F 数理独自 | BEAC/20/1 | 1999 |
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023211999003712 |
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書誌詳細
| 一般注記 | Bibliographiy: p. 229-230 Includes indexes |
|---|---|
| 著者標目 | *Beachy, John A. |
| 件 名 | LCSH:Noncommutative rings (Algebra) LCSH:Modules (Algebra) |
| 分 類 | LCC:QA251.4 DC21:512/.4 |
| 書誌ID | 1001404065 |
| ISBN | 0521643406 |
| NCID | BA41119482 |
| 巻冊次 | : hbk ; ISBN:0521643406 : pbk ; ISBN:0521644070 |
| 登録日 | 2009.11.02 |
| 更新日 | 2017.02.18 |