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Title: Isomorphism does not imply lower base-isomorphism for nonregular or non-locally finite-dimensional cylindric algebras (English)
Author: Biró, Balázs
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 28
Issue: 2
Year: 1987
Pages: 221-226
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Category: math
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MSC: 03C15
MSC: 03G15
idZBL: Zbl 0643.03045
idMR: MR904747
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Date available: 2008-06-05T21:28:42Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106534
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Reference: [AN 81] H. ANDRÉKA I. NÉMETI: On cylindric-relativized set algebras. In: Cylindric Set Algebras.by Henkin et al., Springer Verlag, Berlin, 1981, 131-315.
Reference: [B 85] B. BIRÓ: Isomorphic but not base-isomorphic base-minimal cylindric set algebras.Algebra Univ., to appear. MR 0931620
Reference: [B 86] B. BIRÓ: Isomorphic but not lower base-isomorphic cylindric set algebras of finite dimension.submitted to Notre Dame Journal of Formal Logic.
Reference: [BSh 85] 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.
Reference: [ChK 73] C. C. CHANG H. J. KEISLER: Model Theory.North-Holland, Amsterdam, 1973.
Reference: [HMT] L. HENKIN J. D. MONK A. TARSKI: Cylindric algebras.Vol. I and II, North-Holland, Amsterdam 1971 and 1985.
Reference: [HMT 81] 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. MR 0639151
Reference: [L 85] J. LARSON: The number of one-generated cylindric set algebras of dimension greater than two.The Journal of Symbolic Logic 50 (1985), 51-73. Zbl 0607.03019, MR 0780525
Reference: [N 83] 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. MR 0703505
Reference: [S 83] G. SERÉNY: On regular locally finite-dimensional cylindric set algebras with atomic neat reducts.Preprint of the Polytechnical University of Budapest, 1983.
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