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arXiv · 1507.02302

A Syntactic Characterization of Morita Equivalence

Dimitris Tsementzis
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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.

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BibTeXRIS

Dimitris Tsementzis. 2015-07-08. A Syntactic Characterization of Morita Equivalence. https://arxiv.org/abs/1507.02302

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