Lattice of Algebraically Closed Sets in One-Based Theories
Low, Lee Fong
J. Symbolic Logic, Tome 59 (1994) no. 1, p. 311-321 / Harvested from Project Euclid
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Let $T$ be a one-based theory. We define a notion of width, in the case of $T$ having the finiteness property, for the lattice of finitely generated algebraically closed sets and prove Theorem. Let $T$ be one-based with the finiteness property. If $T$ is of bounded width, then every type in $T$ is nonorthogonal to a weight one type. If $T$ is countable, the converse is true.
Publié le : 1994-03-14
Classification:  
@article{1183744452,
     author = {Low, Lee Fong},
     title = {Lattice of Algebraically Closed Sets in One-Based Theories},
     journal = {J. Symbolic Logic},
     volume = {59},
     number = {1},
     year = {1994},
     pages = { 311-321},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183744452}
}

Low, Lee Fong. Lattice of Algebraically Closed Sets in One-Based Theories. J. Symbolic Logic, Tome 59 (1994) no. 1, pp.  311-321. http://gdmltest.u-ga.fr/item/1183744452/