Literature cited
M. G. Peretyat'kin, "Example of a ω1-categorical complete finitely axiomatizable theory," Algebra Logika,19, No. 3, 314–347 (1980).
A. I. Abakumov, E. A. Palyutin, Yu. E. Shishmarev, and M. A. Taitslin, "Categorical quasivarieties," Algebra Logika,11, No. 1, 3–38 (1972).
H. Herre, "Modelltheoretische Eigenschaften endlichvalenter Graphen," Z. Math. Log. Grundl. Math.,26, No. 1, 51–58 (1980).
K. A. Meirembekov, "Superstable theories of minimal Shelah rank," in: Investigations according to Constructive Models [in Russian], Alma-Ata (1982), pp. 27–45.
V. A. Gorbunov and V. I. Tumanov, "Construction of lattices of quasivarieties," in: Mathematical Logic and the Theory of Algorithms [in Russian] (Papers of the Mathematics Institute of the Siberian Branch of the Academy of Sciences, SSSR, Vol. 2), Nauka, Novosibirsk (1982), pp. 12–44.
V. Magnus, A. Karras, and D. Soliter, The Combinatorial Theory of Groups [in Russian], Nauka, Moscow (1974).
D. T. Muller and P. E. Schupp, "Context-free languages, groups, theory of ends, second-order logic, tiling problems, cellular automata, and vector addition systems," Bull. Am. Math. Soc.,4, No. 3, 331–334 (1981).
W. S. Massey and J. Stallings, Algebraic Topology, Springer, Berlin (1967).
A. A. Ivanov, Strongly Minimal Unary Algebras and Finite Axiomatizability, 19th All-Union Algebraic Conference, Lvov (1987), p. 113.
Additional information
Translated from Algebra i Logika, Vol. 28, No. 2, pp. 160–173, March–April, 1989.
Rights and permissions
About this article
Cite this article
Ivanov, A.A. Problem of finite axiomatizability for strongly minimal theories of graphs and groups with a nonzero number of ends. Algebra and Logic 28, 108–116 (1989). https://doi.org/10.1007/BF01979374
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01979374