Limit search to available items
Book Cover
Author Pitkethly, Jane.

Title Dualisability : unary algebras and beyond / by Jane Pitkethly, Brian Davey
Published New York : Springer, [2005]
Online access available from:
Springer eBooks    View Resource Record  


Description 1 online resource (xi, 263 pages) : illustrations
Series Advances in mathematics ; v. 9
Advances in mathematics (Springer Science+Business Media) ; v. 9
Contents Preface -- Unary algebras and dualisability -- Binary homomorphisms and natural dualities -- The complexity of dualisability: three-element unary algebras -- Full and strong dualisability: three-element unary algebras -- Dualisability and algebraic constructions -- Dualisability and clones -- Inherent dualisability -- Epilogue -- Appendix: Strong dualisability -- References -- Notation -- Index
Summary 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. Audience This book is intended for established researchers in natural duality theory, general algebraists wishing to commence research in duality theory, and graduate students in algebra
Bibliography Includes bibliographical references (pages 251-254) and index
Subject Unary algebras.
Quasivarieties (Universal algebra)
Duality theory (Mathematics)
Form Electronic book
Author Davey, B. A.
LC no. 2005050606
ISBN 038727569X (alk. paper)
0387275703 (ebook)
9780387275697 (alk. paper)
9780387275703 (ebook)