Isomorphism does not imply lower base-isomorphism for nonregular or non-locally finite-dimensional cylindric algebras

Balázs Biró

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 2, page 221-226
  • ISSN: 0010-2628

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Biró, Balázs. "Isomorphism does not imply lower base-isomorphism for nonregular or non-locally finite-dimensional cylindric algebras." Commentationes Mathematicae Universitatis Carolinae 028.2 (1987): 221-226. <http://eudml.org/doc/17537>.

@article{Biró1987,
author = {Biró, Balázs},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {cylindric set algebra; base-isomorphism; base-minimal; minimal model; existence of prime models of atomic theories in countable languages},
language = {eng},
number = {2},
pages = {221-226},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Isomorphism does not imply lower base-isomorphism for nonregular or non-locally finite-dimensional cylindric algebras},
url = {http://eudml.org/doc/17537},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Biró, Balázs
TI - Isomorphism does not imply lower base-isomorphism for nonregular or non-locally finite-dimensional cylindric algebras
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 2
SP - 221
EP - 226
LA - eng
KW - cylindric set algebra; base-isomorphism; base-minimal; minimal model; existence of prime models of atomic theories in countable languages
UR - http://eudml.org/doc/17537
ER -

References

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  1. H. ANDRÉKA I. NÉMETI, On cylindric-relativized set algebras. In: Cylindric Set Algebras, by Henkin et al., Springer Verlag, Berlin, 1981, 131-315. (1981) 
  2. B. BIRÓ, Isomorphic but not base-isomorphic base-minimal cylindric set algebras, Algebra Univ., to appear. MR0931620
  3. B. BIRÓ, Isomorphic but not lower base-isomorphic cylindric set algebras of finite dimension, submitted to Notre Dame Journal of Formal Logic. 
  4. B. BIRÓ S. SHELAH, Isomorphic but not lower baseisomorphic cylindric set algebras, Preprint No. 36/1985 of the Mathematical Institute of the Hungarian Academy of Sciences, submitted to The Journal of Symbolic Logic. (1985) 
  5. C. C. CHANG H. J. KEISLER, Model Theory, North-Holland, Amsterdam, 1973. (1973) 
  6. L. HENKIN J. D. MONK A. TARSKI, Cylindric algebras, Vol. I and II, North-Holland, Amsterdam 1971 and 1985. (1971) 
  7. L. HENKIN J. D. MONK A. TARSKI, Cylindric set algebras and related structures, In: Cylindric Set Algebras by Henkin et al., Springer Verlag Berlin, 1981, 1-129. (1981) MR0639151
  8. J. LARSON, The number of one-generated cylindric set algebras of dimension greater than two, The Journal of Symbolic Logic 50 (1985), 51-73. (1985) Zbl0607.03019MR0780525
  9. I. NÉMETI, Cylindric relativized set algebras and Boolean algebras with operators have SAP; which leads to notes on algebraic model theory, Preprint of the Mathematical Institute of the Hungarian Academy of Sciences, No. 1983/4. (1983) MR0703505
  10. G. SERÉNY, On regular locally finite-dimensional cylindric set algebras with atomic neat reducts, Preprint of the Polytechnical University of Budapest, 1983. (1983) 

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