Model Companions of Theories with an Automorphism

Kikyo, Hirotaka

Kikyo, Hirotaka

J. Symbolic Logic, Tome 65 (2000) no. 1, p. 1215-1222 / Harvested from Project Euclid

Résumé

For a theory T in L, T$_\sigma$ is the theory of the models of T with an automorphism $\sigma$. If T is an unstable model complete theory without the independence property, then T$_\sigma$ has no model companion. If T is an unstable model complete theory and T$_\sigma$ has the amalgamation property, then T$_\sigma$ has no model companion. If T is model complete and has the fcp, then T$_\sigma$ has no model completion.

Publié le : 2000-09-14
Classification:

@article{1183746178,
     author = {Kikyo, Hirotaka},
     title = {Model Companions of Theories with an Automorphism},
     journal = {J. Symbolic Logic},
     volume = {65},
     number = {1},
     year = {2000},
     pages = { 1215-1222},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746178}
}

Kikyo, Hirotaka. Model Companions of Theories with an Automorphism. J. Symbolic Logic, Tome 65 (2000) no. 1, pp.  1215-1222. http://gdmltest.u-ga.fr/item/1183746178/