Isomorphic but not Lower Base-Isomorphic Cylindric Set Algebras
Biro, B. ; Shelah, S.
J. Symbolic Logic, Tome 53 (1988) no. 1, p. 846-853 / Harvested from Project Euclid
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This paper belongs to cylindric-algebraic model theory understood in the sense of algebraic logic. We show the existence of isomorphic but not lower base-isomorphic cylindric set algebras. These algebras are regular and locally finite. This solves a problem raised in [N 83] which was implicitly present also in [HMTAN 81]. This result implies that a theorem of Vaught for prime models of countable languages does not continue to hold for languages of any greater power.
Publié le : 1988-09-14
Classification:  
@article{1183742724,
     author = {Biro, B. and Shelah, S.},
     title = {Isomorphic but not Lower Base-Isomorphic Cylindric Set Algebras},
     journal = {J. Symbolic Logic},
     volume = {53},
     number = {1},
     year = {1988},
     pages = { 846-853},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183742724}
}

Biro, B.; Shelah, S. Isomorphic but not Lower Base-Isomorphic Cylindric Set Algebras. J. Symbolic Logic, Tome 53 (1988) no. 1, pp.  846-853. http://gdmltest.u-ga.fr/item/1183742724/