Dualisability

Dualisability PDF Author: Jane G. Pitkethly
Publisher: Springer Science & Business Media
ISBN: 0387275703
Category : Mathematics
Languages : en
Pages : 271

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Book Description
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.

Dualisability

Dualisability PDF Author: Jane G. Pitkethly
Publisher: Springer Science & Business Media
ISBN: 0387275703
Category : Mathematics
Languages : en
Pages : 271

Get Book Here

Book Description
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.

Dynamic Cognitive Processes

Dynamic Cognitive Processes PDF Author: Nobuo Ohta
Publisher: Springer Science & Business Media
ISBN: 9784431239994
Category : Psychology
Languages : en
Pages : 430

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Book Description
The conference from which this book derives took place in Tsukuba, Japan in March 2004. The fifth in a continuing series of conferences, this one was organized to examine dynamic processes in "lower order" cognition from perception to attention to memory, considering both the behavioral and the neural levels. We were fortunate to attract a terrific group of con tributors representing five countries, which resulted in an exciting confer ence and, as the reader will quickly discover, an excellent set of chapters. In Chapter 1, we will provide a sketchy "road map" to these chapters, elu cidating some of the themes that emerged at the conference. The conference itself was wonderful. We very much enjoyed the vari ety of viewpoints and issues that we all had the opportunity to grapple with. There were lively and spirited exchanges, and many chances to talk to each other about exciting new research, precisely what a good confer ence should promote. We hope that the readers of this book will have the same experience—moving from careful experimental designs in the cogni tive laboratory to neural mechanisms measured by new technologies, from the laboratory to the emergency room, from perceptual learning to changes in memory over decades, all the while squarely focusing on how best to explain cognition, not simply to measure it. Ultimately, the goal of science is, of course, explanation. We also hope that the reader will come away absolutely convinced that cognition is a thoroughly dynamic, interactive system.

Logic and Algebra

Logic and Algebra PDF Author: Aldo Ursini
Publisher: Routledge
ISBN: 1351434713
Category : Mathematics
Languages : en
Pages : 732

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Book Description
""Attempts to unite the fields of mathematical logic and general algebra. Presents a collection of refereed papers inspired by the International Conference on Logic and Algebra held in Siena, Italy, in honor of the late Italian mathematician Roberto Magari, a leading force in the blossoming of research in mathematical logic in Italy since the 1960s.

Natural Dualities for the Working Algebraist

Natural Dualities for the Working Algebraist PDF Author: David M. Clark
Publisher: Cambridge University Press
ISBN: 9780521454155
Category : Mathematics
Languages : en
Pages : 372

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Book Description
First text in subject; aimed at algebraists, category theorists in mathematics and computer science.

Triangulated Categories in Representation Theory and Beyond

Triangulated Categories in Representation Theory and Beyond PDF Author: Petter Andreas Bergh
Publisher: Springer Nature
ISBN: 3031577892
Category :
Languages : en
Pages : 275

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Book Description


Morava $K$-Theories and Localisation

Morava $K$-Theories and Localisation PDF Author: Mark Hovey
Publisher: American Mathematical Soc.
ISBN: 0821810790
Category : Mathematics
Languages : en
Pages : 114

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Book Description
This book is intended for graduate students and research mathematicians working in group theory and generalizations.

Strings, Branes and Dualities

Strings, Branes and Dualities PDF Author: L. Baulieu
Publisher: Springer Science & Business Media
ISBN: 9401147302
Category : Science
Languages : en
Pages : 490

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Book Description
As recent developments have shown, supersymmetric quantum field theory and string theory are intimately related, with advances in one area often shedding light on the other. The organising ideas of most of these advances are the notion of duality and the physics of higher dimensional objects or p-branes. The topics covered in the present volume include duality in field theory, in particular in supersymmetric field theory and supergravity, and in string theory. The Seiberg-Witten theory and its recent developments are also covered in detail. A large fraction of the volume is devoted to the current state of the art in M-theory, in particular its underlying superalgebra as well as its connection with superstring and N = 2 strings. The physics of D-branes and its essential role in the beautiful computation of the black hole entropy is also carefully covered. Finally, the last two sets of lectures are devoted to the exciting matrix approach to non-perturbative string theory.

Axiomatic, Enriched and Motivic Homotopy Theory

Axiomatic, Enriched and Motivic Homotopy Theory PDF Author: John Greenlees
Publisher: Springer Science & Business Media
ISBN: 940070948X
Category : Mathematics
Languages : en
Pages : 396

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Book Description
The NATO Advanced Study Institute "Axiomatic, enriched and rna tivic homotopy theory" took place at the Isaac Newton Institute of Mathematical Sciences, Cambridge, England during 9-20 September 2002. The Directors were J.P.C.Greenlees and I.Zhukov; the other or ganizers were P.G.Goerss, F.Morel, J.F.Jardine and V.P.Snaith. The title describes the content well, and both the event and the contents of the present volume reflect recent remarkable successes in model categor ies, structured ring spectra and homotopy theory of algebraic geometry. The ASI took the form of a series of 15 minicourses and a few extra lectures, and was designed to provide background, and to bring the par ticipants up to date with developments. The present volume is based on a number of the lectures given during the workshop. The ASI was the opening workshop of the four month programme "New Contexts for Stable Homotopy Theory" which explored several themes in greater depth. I am grateful to the Isaac Newton Institute for providing such an ideal venue, the NATO Science Committee for their funding, and to all the speakers at the conference, whether or not they were able to contribute to the present volume. All contributions were refereed, and I thank the authors and referees for their efforts to fit in with the tight schedule. Finally, I would like to thank my coorganizers and all the staff at the Institute for making the ASI run so smoothly. J.P.C.GREENLEES.

Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 984

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Book Description


Structural Theory of Automata, Semigroups, and Universal Algebra

Structural Theory of Automata, Semigroups, and Universal Algebra PDF Author: Valery B. Kudryavtsev
Publisher: Springer Science & Business Media
ISBN: 1402038178
Category : Mathematics
Languages : en
Pages : 448

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Book Description
Semigroups, Automata, Universal Algebra, Varieties