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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Reduced products, Horn sentences, and decision problems

Author(s): Fred Galvin
Journal: Bull. Amer. Math. Soc. 73 (1967), 59-64.
MathSciNet review: 0209135
Retrieve article in: PDF

References | Additional information

References:

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Yu. L. Ershov, Decidability of the elementary theory of relatively complemented distributive lattices and the theory of filters, Algebra i Logika Sem. 3 (1964), 17-38. (Russian) MR 180490
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S. Feferman and R. L. Vaught, The first order properties of products of algebraic systems, Fund. Math. 47 (1959), 57-103. MR 108455
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T. Frayne, A. C. Morel and D. S. Scott, Reduced direct products, Fund. Math. 51 (1962), 195-228. MR 142459
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Paul R. Halmos, Lectures on Boolean algebras, Van Nostrand Mathematical Studies No. 1, Van Nostrand, Princeton, N. J., 1963. MR 167440
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H. Jerome Keisler, Properties preserved under reduced products. II, Amer. Math. Soc. Notices 8 (1961), 64.
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H. Jerome Keisler, Ultraproducts and elementary classes, Indag. Math. 23 (1961), 477-495. MR 140396
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H. Jerome Keisler, Reduced products and Horn classes, Trans. Amer. Math. Soc. 117 (1965), 307-328. MR 170812
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H. Jerome Keisler, Some applications of infinitely long formulas, J. Symbolic Logic 30 (1965), 339-349. MR 199106
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Shin'ichi Kinoshita, A solution of a problem of R. Sikorski, Fund. Math. 40 (1953), 39-41. MR 60809
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G. Kreisel, Some uses of metamathematics, British J. Philos. Sci. 7 (1956), 161-173.
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Alfred Tarski, Arithmetical classes and types of Boolean algebras, Preliminary report, Bull. Amer. Math. Soc. 55 (1949), 64.
13.
Joseph M. Weinstein, First order properties preserved by direct product, Ph.D. Thesis, University of Wisconsin, Madison, Wis., 1965.


Additional Information:

DOI: 10.1090/S0002-9904-1967-11640-9
PII: S 0002-9904(1967)11640-9




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