On residual properties
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- by Alan H. Mekler
- Proc. Amer. Math. Soc. 78 (1980), 187-188
- DOI: https://doi.org/10.1090/S0002-9939-1980-0550490-6
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Abstract:
It is shown that the class of structures residually in a universal class closed under elementary equivalence is definable by a sentence of ${L_{\infty \omega }}$.References
- C. C. Chang and H. J. Keisler, Model theory, North-Holland, Amsterdam, 1973.
- B. H. Neumann, Properties of countable character, Actes du Congrès International des Mathématiciens (Nice, 1970) Gauthier-Villars, Paris, 1971, pp. 293–296. MR 0480286
- B. H. Neumann, Group properties of countable character, Selected questions of algebra and logic (a collection dedicated to the memory of A. I. Mal′cev) (Russian), Izdat. “Nauka” Sibirsk. Otdel., Novosibirsk, 1973, pp. 197–204. MR 0327912
- Gabriel Sabbagh, On properties of countable character, Bull. Austral. Math. Soc. 4 (1971), 183–192. MR 281677, DOI 10.1017/S000497270004644X
Bibliographic Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 187-188
- MSC: Primary 03C52; Secondary 03C60, 20A15
- DOI: https://doi.org/10.1090/S0002-9939-1980-0550490-6
- MathSciNet review: 550490