Miroslav Ploscica

Born 1962 in Spisska Stara Ves, district Poprad.
University Studies:
University of P. J. Safarik in Kosice, School of Natural Sciences (1980 – 1985).
RNDr. 1985, CSc. (PhD, advisor Prof. RNDr. Jan Jakubik, DrSc.) 1990,
Positions held:
1985 – Math. Inst. Slovak. Acad. Sci., Extension in Kosice (since 1996 Senior Research Fellow).
Field of interest: Algebra (Lattice Theory).

List of publications:

  1. Ploscica, M., The lattice of topologies on a partially ordered set, Archivum Math. 23 (1987), 109-116.
  2. Ploscica, M., Topologies compatible with order and separation axioms, Archivum Math. 24 (1988), 223-224.
  3. Ploscica, M., A duality for isotropic median algebras, Comment. Math. Univ. Carolinae 33 (1992), 541-550.
  4. Ploscica, M., Affine complete distributive lattices, Order 11 (1994), 385-390.
  5. Ploscica, M., Graphical compositions and weak congruences, Publ. l'Inst. Math. (Beograd) 56 (1994), 34-40.
  6. Ploscica, M., Projective algebras, Algebra Universalis 31 (1994), 135-146.
  7. Ploscica, M., On the relationship between projective distributive lattices and Boolean algebras, Acta Math. Univ. Commenianae 63 (1994), 267-274.
  8. Ploscica, M., A natural representation of bounded lattices, Tatra Mountains Mathematical Publication 5 (1995), 75-88.
  9. Haviar, M., Ploscica, Affine complete Stone algebras, Algebra Universalis 34 (1995), 355-365.
  10. Ploscica, M., Injective ordered topological spaces, Proceedings of the Summer School on General Algebra and Ordered Sets, Horni Lipova 1994, Vydav. Univ. Palackeho Olomouc, 1995, 116-123.
  11. Ploscica, M., Affine complete median algebras, Contributions to General Algebra 9 (Proc. Conf. Linz 1994), Holder-Pichler-Tempsky, Wien, 1995, 261-270.
  12. Ploscica, M., On a characterization of distributive lattices by the betweenness relation, Algebra Universalis 35 (1996), 249-255.
  13. Ploscica, M., Affine completions of distributive lattices, Order 13 (1996), 295-311.
  14. Ploscica, M., Zelina, M., Cancellation among finite unary algebras, Discrete Mathematics 159 (1996), 191-198.
  15. Haviar M., Kaarli K., Ploscica M., Affine completeness of Kleene algebras, Algebra Universalis 37 (1997), 477-490.
  16. Haviar M., Ploscica M., Affine completeness of Kleene algebras II, Acta Univ. M. Belii Math. 5 (1997), 51-61.
  17. Chajda I., Ploscica M., Duality of bounded q-lattices, Acta Univ. M. Belii Math. 5 (1997), 63-72.
  18. Ploscica M., Haviar M., On order-polynomial completeness of lattices, Algebra Universalis 39 (1998), 217-219.
  19. Ploscica M., Tuma J., Wehrung F., Congruence lattices of free lattices in non- distributive varieties, Colloquium Math. 76 (1998), 269-278.
  20. Ploscica M., Tuma J., Uniform refinements in distributive semilattices, Con- tributions to General Algebra 10 (Proc. Klagenfurt 1997), Verlag Johannes Heyn, 1998, 251-262.
  21. Haluskova E., Ploscica M., On direct limits of finite algebras, Contributions to General Algebra 11 (Proc. Olomouc and Velka Karlovice 1998), Verlag Johannes Heyn, Klagenfurt 1999, 101-104.
  22. Ploscica M., Separation properties in congruence lattices of lattices, Colloquium Math. 83 (2000), 71-84.
  23. Georgescu G., Ploscica M., Values and minimal spectrum of an algebraic lattice, Math. Slovaca 52(2002), 247-254.
  24. Goldstern M., Ploscica M., Balanced d-lattices are complemented, Discussiones Mathematicae (General Algebra and Applications) 22(2002), 33-37.
  25. Ploscica M., Dual spaces of some congruence lattices, Topology and its Applications 131(2003), 1-14.
  26. Ploscica M., Separation in distributive congruence lattices, Algebra Universalis 49(2003), 1-12.
  27. Kuchmei V., Ploscica M., Congruence-preserving functions on Stone and Kleene algebras, Algebra Universalis 51(2004), 419-434.
  28. Ploscica M., Finite congruence lattices in congruence distributive varieties, Contributions to General Algebra 14 (proc. conf. Olomouc 2002 and Potsdam 2003), Verlag Johannes Heyn, Klagenfurt 2004, 119-126.
  29. Ploscica M., Relative separation in distributive congruence lattices, Algebra Universalis 52(2004), 313-323.
  30. Ploscica M., Ideal lattices of locally matricial algebras, Tatra Mountains Math. Publications 30(2005), 123-134.
  31. Ploscica M., Local separation in distributive semilattices, Algebra Universalis 54(2005), 323-335.
  32. Ploscica M., Congruence lattices of lattices with m-permutable congruences, Acta Scientiarum Mathematicarum (Szeged), 74(2008), 23-36.
  33. Ploscica M., Non-representable distributive semilattices, Journal of Pure and Applied Algebra 212(2008), 2503-2512.
  34. Ploscica M., Haviar M., Congruence-preserving functions on distributive lattices, Algebra Universalis 59(2008), 179-196.
  35. Ploscica M., Iterative separation in distributive congruence lattices, Mathematica Slovaca 59(2009), 221-230.
  36. Ploscica M., Congruence lifting of semilattice diagrams, International Journal of Algebra and Computation 19(2009), 911-924.
  37. Ploscica M., Congruence preserving functions on median algebras, Contributions to General Algebra 19 (proc. conf. Olomouc 2010), Verlag Johannes Heyn, Klagenfurt 2010, 179-186.