journal article Dec 01, 1973

On universal Horn classes categorical in some infinite power

View at Publisher Save 10.1007/bf02945108
Topics

No keywords indexed for this article. Browse by subject →

References
18
[1]
J. T. Baldwin,Almost strongly minimal theories I, J. Symb. Logic37 (1972). 10.2307/2272733
[2]
J. T. Baldwin,Almost strongly minimal theories II, (to appear J. Symbolic Logic).
[3]
J. T. Baldwin and A. H. Lachlan,On strongly minimal sets, J. Symb. Logic36 (1971), 79–96. 10.2307/2271517
[4]
S. Feferman and R. L. Vaught,The first order properties of products of algebraic systems, Fund. Math.47 (1959), 57–103. 10.4064/fm-47-1-57-103
[5]
G. Grätzer,Universal algebra, D. Van Nostrand Company, Princeton, New Jersey 1968.
[6]
P. Lindstrom,On model completeness, Theoria30 (1965), 183–196. 10.1111/j.1755-2567.1964.tb01088.x
[7]
E. Marczewski,A general scheme of notions of independence in mathematics, Bull. Acad. Pol. Sci., Serie Sc. Math., Astr. et Phys.6 (1958), 731–736.
[8]
E. Marczewski,Independence in algebras of sets and Boolean algebra, Fund. Math.48 (1960), 135–145. 10.4064/fm-48-2-135-145
[9]
W. E. Marsh,On ω 1-categorical but not ω-categorical theories, Ph. D. Thesis, Dartmouth, 1966.
[10]
M. D. Morley,Categoricity in power, Trans. Amer. Math. Soc.114 (1965), 514–538. 10.1090/s0002-9947-1965-0175782-0
[11]
M. D. Morley,Countable models of N1-categorical theories, Israel J. Math.5 (1967), 65–72. 10.1007/bf02771623
[12]
Palyutin,Models with countable categorical universal theories, Algebra and Logic, Russian Original10 (1971), 15–20 of translation. 10.1007/bf02217798
[13]
Gerald Sacks,Saturated model theory, W. A. Benjamin Inc., Reading, Mass. (1972).
[14]
S. Shelah,Stability, the f.c.p., and superstability; model theoretic properties of formulas in first order theory, Annals of mathematical logic,3 (1971), 271–362. 10.1016/0003-4843(71)90015-5
[15]
J. R. Shoenfield,Mathematical Logic, Addison Wesley, 1967.
[16]
K. Urbanik,A representation theorem for Marcewski’s algebras, Fund. Math.48 (1960), 147–167. 10.4064/fm-48-2-147-167
[17]
R. L. Vaught,Denumerable models of complete theories, Proceedings of the Symposium on Foundations of Mathematics; Infinitistic methods, Pergamon Press, New York 1961, 303–321.
[18]
J. Weinstein,First order properties prescribed by direct product, Ph. D. Thesis, Wisconsin, 1965.
Metrics
30
Citations
18
References
Details
Published
Dec 01, 1973
Vol/Issue
3(1)
Pages
98-111
License
View
Cite This Article
J. T. Baldwin, A. H. Lachlan (1973). On universal Horn classes categorical in some infinite power. Algebra universalis, 3(1), 98-111. https://doi.org/10.1007/bf02945108
Related

You May Also Like

The fine spectrum of a variety

Walter Taylor · 1975

44 citations

Intervals in the lattice of varieties

J. Ježek · 1976

35 citations

From a lattice to its ideal lattice

Kirby A. Baker, Alfred W. Hales · 1974

22 citations

The class of arguesian lattices is self-dual

B. Jönsson · 1972

21 citations