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References

  1. Andréka, H. andNemeti, I.,Generalization of the concept of variety and quasivariety to partial algebra through category theory. Dissertations Mathematicae204 (1983), 1–56.

    Google Scholar 

  2. Banaschewski, B. andHerrlich, H.,Subcategories defined by implications. Houston J. Math2 (1976), no. 2, 149–171.

    Google Scholar 

  3. Bloom, S.,Varieties of ordered algebras. J. Comp. Systems Science13 (1976), 200–212.

    Google Scholar 

  4. Burmeister, P.,A Model-Theoretic Oriented Approach to Partial Algebras. Akademie-Verlag, Berlin, 1986.

    Google Scholar 

  5. Burris, S.,Subdirect representations in axiomatic classes. Colloq. Math.34 (1976), 191–197.

    Google Scholar 

  6. Burris, S. andSankappanavar, H. P.,A Course in Universal Algebra. Spinger-Verlag, New York, 1981.

    Google Scholar 

  7. Dixon, P. G.,Classes of algebraic systems defined by universal Horn sentences. Algebra Universalis7 (1977), 315–339.

    Google Scholar 

  8. Duffus, D. andRival, I.,A structure theory for ordered sets. Discrete Math.35 (1981), 53–118.

    Google Scholar 

  9. Fraïsé, R.,Theory of Relations. North-Holland, New York, 1986.

    Google Scholar 

  10. Grätzer, G.,Universal Algebra (second edition). Springer-Verlag, New York, 1979.

    Google Scholar 

  11. Hatcher, W. S.,Quasiprimitive subcategories. Math. Ann.190 (1970), 93–96.

    Google Scholar 

  12. Isbell, J. R.Subobjects, adequacy, completeness and categories of algebras. Rozprawy Math.36 (1964).

  13. Jónsson, B.,Algebras whose congruence lattices are distributive. Math. Scand.21 (1967), 110–121.

    Google Scholar 

  14. Kelley, J. L.,General Topology. Van Nostrand Reinhold, New York, 1955.

    Google Scholar 

  15. Kelly, D.,Complete rules of inference for universal sentences. Studia Sci. Math. Hungar.19 (1984), 347–362.

    Google Scholar 

  16. Köthe, G.,Topological Vector Spaces I. Springer-Verlag, New York, 1969.

    Google Scholar 

  17. Mal'cev, A. I.,Algebraic Systems. Springer-Verlag, New York, 1973.

    Google Scholar 

  18. Mal'cev, A. I.,The Metamathematics of Algebraic Systems. North-Holland, Amsterdam, 1971.

    Google Scholar 

  19. Nelson, E.,On the adjointness between operations and relations. Colloq. Math.33 (1975), 33–40.

    Google Scholar 

  20. Németi, I. andSain, I.,Cone-implicational subcategories and some Birkhoff-type theorems, inUniversal Algebra (Proc. Coll. Esztergom 1977). Colloq. Math. Soc. J. Bolyai Vol. 29. North-Holland, Amsterdam, 1981, pp. 535–578.

    Google Scholar 

  21. Sabidussi, G.,Subdirect representations of graphs. Centre de Recherches Mathématiques. Université de Montreal, 1973.

  22. Sain, I.,On classes of algebraic systems closed with respect to quotients, Universal Algebra and Applications. Banach Center Publications, Warsaw, 1982, vol. 9.

    Google Scholar 

  23. Selman, A.,Completeness of calculi for axiomatically defined classes of algebras. Algebra Universalis2 (1972), 20–32.

    Google Scholar 

  24. Steen, L. A. andSeebach, J. A. Jr.,Counterexamples in Topology. Holt, Rinehart, and Winston, New York, 1970.

    Google Scholar 

  25. Taylor, W.,Primal topological algebras. Algebra Universalis9, 211–220.

  26. Taylor, W.,Varieties of topological algebras. J. Austral. Math. Soc.23 (1977), 207–241.

    Google Scholar 

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Weaver, N. Generalized varieties. Algebra Universalis 30, 27–52 (1993). https://doi.org/10.1007/BF01196548

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