Literature Cited
B. H. Neumann, “The isomorphism problem for algebraically closed groups”, in: Word Problems, North-Holland, Amsterdam (1973), pp. 553–562.
A. Macintyre, “Omitting quantifier-free types in generic structures”, J. Symbolic Logic,37, 512–520 (1972).
W. W. Boone and G. Higman, “On algebraic characterization of groups with soluble word problem”, J. Austral. Math. Soc.,18, No. 1, 41–53 (1974).
O. V. Belegradek, “Algebraic equivalents of the solvability of group-theoretic algorithmic problems”, Sib. Mat. Zh.,20, No. 5, 253–263 (1979).
A. Macintyre, “On algebraically closed groups”, Ann. Math.,96, 53–97 (1972).
V. Ya. Belyaev, “On algebraically closed semigroups”, Sib. Mat. Zh.,18, No. 1, 32–39 (1977).
G. Higman, “Subgroups of finitely presented groups”, Proc. R. Soc. London, Ser. A,262, 455–475 (1961).
V. L. Murskii, “Isomorphic embeddability of a semigroup with an enumerable set of defining relations in a finitely presented semigroup”, Mat. Zametki,1, No. 2, 217–224 (1967).
A. A. Markov, “Impossibility of algorithms for recognizing certain properties of associative systems”, Dokl. Akad. Nauk SSSR,77, No. 6, 953–956 (1951).
S. I. Adyan, “Insolvability of some algorithmic problems of group theory”, Tr. Mosk. Mat. Obshch.,6, 231–298 (1957).
M. O. Rabin, “Recursive insolvability of group-theoretic problems”, Ann. Math.,67, No. 1, 172–194 (1958).
V. Ya. Belyaev, “Subrings of finitely presented associative rings”, Algebra Logika,17 No. 6, 627–638 (1978).
G. P. Kukin, “Subalgebras of recursively presented Lie algebras”, in: Eleventh All-Union Algebra Conference, Krasnoyarsk (1979), p. 81.
Additional information
Kemerovo State University, Kemervo. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 21, No. 6, pp. 196–201, November–December, 1980.
Rights and permissions
About this article
Cite this article
Belegradek, O.V. Decidable fragments of universal theories and existentially closed models. Sib Math J 21, 898–902 (1980). https://doi.org/10.1007/BF00968481
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00968481