Abstract
We show that if $T$ is a stable theory with ndop and ndidip, then $\vert T\vert^{+}$-primary models over free trees are $\vert T\vert^{+}$-minimal over the tree. As a corollary we show, for example, that if $T$ is a stable theory and for all nonempty $X$, $acl(X)=\cup_{x\in X}acl(\{ x\} )$, then $T$ is superstable or it has dop or didip.
Citation
Tapani Hyttinen. "A Remark on Algebraic Closure and Orthogonality." Notre Dame J. Formal Logic 39 (4) 527 - 530, Fall 1998. https://doi.org/10.1305/ndjfl/1039118867
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