%0 Journal Article
%T A Syntactic Characterization of Morita Equivalence
%A Dimitris Tsementzis
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1507.02302v1