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Categorical positive Horn theories. (English. Russian original) Zbl 0448.03017
Algebra Logic 18, 31-49 (1979); translation from Algebra Logika 18, 47-72 (1979).

03C05 Equational classes, universal algebra in model theory
03C35 Categoricity and completeness of theories
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[1] A. I. Mal’tsev, Algebraic Systems [in Russian], Nauka (1970).
[2] Yu. L. Ershov, E. A. Palyutin, and M. A. Taitslin, Mathematical Logic [in Russian], Novosibirsk State Univ. (1973).
[3] A. I. Abakumov, E. A. Palyutin, M. A. Taitslin, and Yu. E. Shishmarev, ”Categorical quasivarieties,” Algebra Logika,11, No. 1, 3–38 (1972).
[4] E. A. Palyutin, ”On complete quasivarieties,” Algebra Logika,11, No. 6, 689–693 (1972). · Zbl 0264.08002
[5] E. A. Palyutin, ”On categorical quasivarieties of arbitrary signature,” Sib. Mat. Zh.,14, No. 6, 1285–1303 (1973). · Zbl 0279.02029
[6] E. A. Palyutin, ”Description of categorical quasivarieties,” Algebra Logika,14, No. 2, 145–185 (1975). · Zbl 0319.08004
[7] A. Lachlan, ”Complete varieties of algebras,” Notices Am. Math. Soc.,19, No. 5, 598 (1972).
[8] J. T. Baldwin and A. H. Lachlan, ”On universal Horn classes categorical in some infinite power,” Algebra Universalis,3, No. 1, 98–111 (1973). · Zbl 0272.02078 · doi:10.1007/BF02945108
[9] S. Shelah, ”Categoricity of uncountable theories,” Proc. Tarski Symposium (Proc. Symp. Pure Math., Vol. XXV, Univ. Calif., Berkeley, CA, 1971), Amer. Math. Soc., Providence, RI (1974), pp. 187–204.
[10] S. Shelah, ”Stability, the f.c.p. and superstability; model-theoretic properties of formulas in first-order theory,” Ann. Math. Logic,3, 271–362 (1971). · Zbl 0281.02052 · doi:10.1016/0003-4843(71)90015-5
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