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A SYNTACTIC CHARACTERIZATION OF MORITA EQUIVALENCE

Published online by Cambridge University Press:  09 January 2018

DIMITRIS TSEMENTZIS*
Affiliation:
DEPARTMENT OF PHILOSOPHY PRINCETON UNIVERSITY PRINCETON, NJ08544, USAE-mail:[email protected]

Abstract

We characterize Morita equivalence of theories in the sense of Johnstone in terms of a new syntactic notion of a common definitional extension developed by Barrett and Halvorson for cartesian, regular, coherent, geometric and first-order theories. This provides a purely syntactic characterization of the relation between two theories that have equivalent categories of models naturally in any Grothendieck topos.

Type
Articles
Copyright
Copyright © The Association for Symbolic Logic 2017 

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