Algebraic Theories

- A Categorical Introduction to General Algebra (Series Number 184: Algebraic Theories: A Categorical Introduction to General Algebra)

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indgår i serie CAMBRIDGE TRACTS IN MATHEMATICS


Algebraic Theories
  • Leveringstid 2-3 uger
  • Forventet levering 11-12-2019
Format:
Bog, hardback
Udgivelsesdato:
18-11-2010
Sprog:
Engelsk
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  • Yderligere info
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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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Udgivelsesdato:
18-11-2010
ISBN13:
9780521119221
Vægt:
570 g
Dybde:
23 mm
Bredde:
155 mm
Højde:
231 mm
Nummer i serien:
184
Nummer i serien:
184
Format:
Hardback
  • Forfattere

  • Bibliotekernes beskrivelse

    First up-to-date treatment of the categorical view of sets with extra algebraic structure (data types), with applications in analysis, topology and number theory, geometry, and mathematical physics. A stimulating read for graduate students and researchers in category theory, general algebra, theoretical computer science and algebraic topology. 50 Line drawings, black and white

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