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＜電子ブック＞
Dualisability : Unary Algebras and Beyond / by Jane G. Pitkethly, Brian A. Davey
(Advances in Mathematics ; 9)

版	1st ed. 2005.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2005
本文言語	英語
大きさ	XII, 264 p. 38 illus : online resource
著者標目	*Pitkethly, Jane G author Davey, Brian A author SpringerLink (Online service)
件　名	LCSH:Universal algebra LCSH:Discrete mathematics LCSH:Algebra LCSH:Social sciences LCSH:Humanities FREE:General Algebraic Systems FREE:Discrete Mathematics FREE:Order, Lattices, Ordered Algebraic Structures FREE:Humanities and Social Sciences
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/0-387-27570-3

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