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

Commentationes Mathematicae Universitatis Carolinae (1987)

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

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topBiró, 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

top- H. ANDRÉKA I. NÉMETI, On cylindric-relativized set algebras. In: Cylindric Set Algebras, by Henkin et al., Springer Verlag, Berlin, 1981, 131-315. (1981)
- B. BIRÓ, Isomorphic but not base-isomorphic base-minimal cylindric set algebras, Algebra Univ., to appear. MR0931620
- B. BIRÓ, Isomorphic but not lower base-isomorphic cylindric set algebras of finite dimension, submitted to Notre Dame Journal of Formal Logic.
- 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)
- C. C. CHANG H. J. KEISLER, Model Theory, North-Holland, Amsterdam, 1973. (1973)
- L. HENKIN J. D. MONK A. TARSKI, Cylindric algebras, Vol. I and II, North-Holland, Amsterdam 1971 and 1985. (1971)
- 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
- 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
- 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
- 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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