<図書>
Dualisability : unary algebras and beyond
| 責任表示 | by Jane Pitkethly, Brian Davey |
|---|---|
| シリーズ | Advances in mathematics ; v. 9 |
| データ種別 | 図書 |
| 出版情報 | New York : Springer , c2005 |
| 本文言語 | 英語 |
| 大きさ | xi, 263 p. : ill. ; 25 cm |
| 概要 | Natural duality theory is one of the major growth areas within general algebra. This text provides a short path to the forefront of research in duality theory. It presents a coherent approach to new ...esults in the area, as well as exposing open problems. Unary algebras play a special role throughout the text. Individual unary algebras are relatively simple and easy to work with. But as a class they have a rich and complex entanglement with dualisability. This combination of local simplicity and global complexity ensures that, for the study of natural duality theory, unary algebras are an excellent source of examples and counterexamples. A number of results appear here for the first time. In particular, the text ends with an appendix that provides a new and definitive approach to the concept of the rank of a finite algebra and its relationship with strong dualisability. Natural duality theory is one of the major growth areas within general algebra. This text provides a short path to the forefront of research in duality theory. It presents a coherent approach to new results in the area, as well as exposing open problems. Unary algebras play a special role throughout the text. Individual unary algebras are relatively simple and easy to work with. But as a class they have a rich and complex entanglement with dualisability. This combination of local simplicity and global complexity ensures that, for the study of natural duality theory, unary algebras are an excellent source of examples and counterexamples. A number of results appear here for the first time. In particular, the text ends with an appendix that provides a new and definitive approach to the concept of the rank of a finite algebra and its relationship with strong dualisability. 続きを見る |
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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理系図3F 数理独自 | PITK/10/1 | 2005 |
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023212005004674 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. [251]-254) and index |
|---|---|
| 著者標目 | *Pitkethly, Jane Davey, Brian Albert |
| 件 名 | LCSH:Unary algebras LCSH:Quasivarieties (Universal algebra) LCSH:Duality theory (Mathematics) |
| 分 類 | LCC:QA251 DC22:511.3/3 |
| 書誌ID | 1001287321 |
| ISBN | 038727569X |
| NCID | BA73690901 |
| 巻冊次 | ISBN:038727569X ; XISBN:9780387275697 ebook ; ISBN:0387275703 ; XISBN:9780387275703 |
| 登録日 | 2009.09.18 |
| 更新日 | 2017.02.18 |
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