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ε-free models

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Literature Cited

  1. A. I. Mal'tsev, Algebraic Systems [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  2. T. Fujiwara, “On the construction of the least universal Horn class containing a given class,” Osaka J. Math.,8, No. 3, 425–436 (1971).

    Google Scholar 

  3. P. Burmeister, “Free partial algebras,” J. Reine und Angew. Math.,241, 75–86 (1970).

    Google Scholar 

  4. J. Slominski, “Peano-algebras and quasi-algebras,” Diss. Mathem.,57 (1968).

  5. R. Kerkhoff, “Gleichungsdefinierbare Klassen partieller Algebren,” Math. Ann.,185, No. 2, 112–133 (1970).

    Google Scholar 

  6. G. Grätzer, Universal Algebra, Van Nostrand Company, Princeton-Toronto-London-Melbourne (1968).

    Google Scholar 

  7. P. M. Cohn, Universal Algebra [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  8. A. Robinson, Introduction to Model Theory and to the Metamathematics of Algebra [Russian translation], Nauka, Moscow (1967).

    Google Scholar 

  9. S. Feferman and R. L. Vaught, “The first-order properties of products of algebraic systems,” Fund. Math.,47, No. 1, 57–103 (1959).

    Google Scholar 

  10. P. S. Novikov, Elements of Mathematical Logic [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  11. M. S. Tsalenko and E. G. Shul'geifer, Lectures on Category Theory [in Russian], Izd-vo MGU, Moscow (1970).

    Google Scholar 

  12. A. Tarski and R. L. Vaught, “Arithmetical extensions of relational systems,” Compos. Math.,13, No. 2, 81–102 (1957).

    Google Scholar 

  13. R. C. Lyndon, “Properties preserved under homomorphism,” Pacif. J. Math.,9, No. 1, 143–154 (1959).

    Google Scholar 

  14. H. J. Keisler, “Theory of models with generalized atomic formulas,” J. Symbol. Log.,25, No. 1, 1–26 (1960).

    Google Scholar 

  15. K. Bing, “On arithmetical calsses not closed under direct union,” Proc. Am. Math. Soc.,6, No. 5, 836–846 (1955).

    Google Scholar 

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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 15, No. 3, pp. 580–597, May–June, 1974.

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Frenkin, B.R. ε-free models. Sib Math J 15, 416–428 (1974). https://doi.org/10.1007/BF00969811

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  • DOI: https://doi.org/10.1007/BF00969811

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