Advances in Mathematics

Dualisability

Unary Algebras and Beyond

Authors: Pitkethly, Jane G., Davey, Brian A.

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About this book

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.

Reviews

From the reviews of the first edition:

"This fascinating book shows that even in the realm of unary algebras, where one might expect the situation to be virtually trivial almost all pathological behaviour occurs already. … The list of references is thorough and the index excellent." (Sheila Oates-Williams, Zentralblatt MATH, Vol. 1085, 2006)


Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-0-387-27570-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-0-387-27569-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-1-4419-3901-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dualisability
Book Subtitle
Unary Algebras and Beyond
Authors
Series Title
Advances in Mathematics
Series Volume
9
Copyright
2005
Publisher
Springer US
Copyright Holder
Springer-Verlag US
eBook ISBN
978-0-387-27570-3
DOI
10.1007/0-387-27570-3
Hardcover ISBN
978-0-387-27569-7
Softcover ISBN
978-1-4419-3901-2
Edition Number
1
Number of Pages
XII, 264
Number of Illustrations and Tables
38 b/w illustrations
Topics