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Algebraic Theories: A Categorical Introduction to General Algebra
Contributor(s): Adámek, J. (Author), Rosický, J. (Author), Vitale, E. M. (Author)

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 ISBN: 0521119227     ISBN-13: 9780521119221
Publisher: Cambridge University Press
OUR PRICE: $128.25  

Binding Type: Hardcover - See All Available Formats & Editions
Published: November 2010
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Click for more in this series: Cambridge Tracts in Mathematics (Hardcover)
Additional Information
BISAC Categories:
- Mathematics | Logic
Dewey: 512.62
LCCN: 2010018289
Series: Cambridge Tracts in Mathematics (Hardcover)
Physical Information: 0.9" H x 6.1" W x 9.1" L (1.14 lbs) 268 pages
Features: Bibliography, Dust Cover, Illustrated, Index, Table of Contents
 
Descriptions, Reviews, Etc.
Publisher Description:
Algebraic theories, introduced as a concept in the 1960s, have been a fundamental step towards a categorical view of general algebra. Moreover, they have proved very useful in various areas of mathematics and computer science. This carefully developed book gives a systematic introduction to algebra based on algebraic theories that is accessible to both graduate students and researchers. It will facilitate interactions of general algebra, category theory and computer science. A central concept is that of sifted colimits - that is, those commuting with finite products in sets. The authors prove the duality between algebraic categories and algebraic theories and discuss Morita equivalence between algebraic theories. They also pay special attention to one-sorted algebraic theories and the corresponding concrete algebraic categories over sets, and to S-sorted algebraic theories, which are important in program semantics. The final chapter is devoted to finitary localizations of algebraic categories, a recent research area.

Contributor Bio(s): Adamek, J.: - J. Ad�mek is a Professor in the Institute of Theoretical Computer Science at the University of Technology, Braunschweig, Germany.Rosicky, J.: - J. Rosick is a Professor in the Department of Mathematics and Statistics at Masaryk University, Brno, Czech Republic.Vitale, E. M.: - E. M. Vitale is a Professor in the Institut de Recherche en Math�matique et Physique at the Universit� Catholique de Louvain, Louvain-la-Neuve, Belgium.
 
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