Algebraic Theories (Hardcover)
 
作者: J Adamek 
分類: Mathematical foundations ,
Algebra  
書城編號: 381933


售價: $1484.00

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出版社: Cambridge University Press
出版日期: 2010/11/18
尺寸: 235x159x24mm
重量: 531 grams
ISBN: 9780521119221
 
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商品簡介
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.
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