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<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.
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所蔵情報



理系図3F 数理独自 PITK/10/1 2005
023212005004674

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