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My main research
interests are universal algebra and lattice theory. Below is
the list of my publications. Most of the papers can be
downloaded in the preprint version. (There might be small
differences with the originals.)
RESEARCH
PAPERS
1. Ploščica, M., The lattice of topologies on a partially
ordered set, Archivum Math. 23 (1987), 109-116. pdf
2. Ploščica, M., Topologies compatible with order and
separation axioms, Archivum Math. 24 (1988),
223-224. pdf
3. Ploščica, M., A duality for isotropic median
algebras, Comment. Math. Univ. Carolinae 33 (1992),
541-550. pdf
4. Ploščica M., Affine
complete distributive lattices, Order 11(1994),
385-390. pdf
5. Ploščica, M., Graphical compositions and weak
congruences, Publ. l'Inst. Math. (Beograd) 56 (1994),
34-40. pdf
6. Ploščica, M., Projective algebras, Algebra Universalis 31 (1994), 135-146.
7. Ploščica, M., On the relationship between projective
distributive lattices and Boolean algebras, Acta Math.
Univ. Commenianae 63 (1994), 267-274. pdf
8. Ploščica, M., A natural representation of bounded lattices, Tatra Mountains Mathematical Publication 5 (1995), 75-88. pdf
9. Haviar, M., Ploščica, Affine complete Stone
algebras, Algebra Universalis 34 (1995), 355-365. pdf
10. Ploščica, M., Injective ordered topological spaces,
Proceedings of the Summer School on General Algebra and
Ordered Sets, Horní Lipová 1994, Vydav. Univ. Palackého Olomouc,
1995, 116-123. pdf
11. Ploščica, M., Affine complete median algebras,
Contributions to General Algebra 9 (Proc. Conf. Linz 1994),
Holder-Pichler-Tempsky, Wien, 1995, 261-270. pdf
12. Ploščica, M., On a characterization of distributive
lattices by the betweenness relation, Algebra Universalis
35 (1996), 249-255. pdf
13. Ploščica, M., Affine completions of distributive
lattices, Order 13 (1996), 295-311. pdf
14. Ploščica, M., Zelina, M., Cancellation among finite
unary algebras, Discrete Mathematics 159 (1996),
191-198. pdf
15. Haviar M., Kaarli K., Ploščica M., Affine
completeness of Kleene algebras, Algebra Universalis 37
(1997), 477-490. pdf
16. Haviar M., Ploščica M., Affine completeness of
Kleene algebras II, Acta Univ. M. Belii Math. 5 (1997),
51-61. pdf
17. Chajda I., Ploščica M., Duality of bounded q-lattices, Acta Univ. M. Belii Math. 5 (1997), 63-72.
18. Ploščica M., Haviar M., On order-polynomial
completeness of lattices, Algebra Universalis 39 (1998),
217-219. pdf
19. Ploščica M., Tůma J., Wehrung F., Congruence
lattices of free lattices in non-distributive varieties,
Colloquium Math. 76 (1998), 269-278. pdf
20. Ploščica M., Tůma J., Uniform refinements in
distributive semilattices, Contributions to General
Algebra 10 (Proc. Klagenfurt 1997), Verlag Johannes Heyn, 1998,
251-262. pdf
21. Halušková E., Ploščica M., On direct limits of finite algebras, Contributions to General Algebra 11 (Proc. Olomouc and Velké Karlovice 1998), Verlag Johannes Heyn, Klagenfurt 1999, 101-104.
22. Ploščica M., Separation properties in congruence
lattices of lattices, Colloquium Math. 83 (2000),
71-84. pdf
23. Georgescu G., Ploščica M., Values and minimal
spectrum of an algebraic lattice, Math. Slovaca 52(2002),
247-254. pdf
24.Goldstern M., Ploščica M., Balanced d-lattices are
complemented, Discussiones Mathematicae (General Algebra
and Applications) 22(2002), 33-37. pdf
25. Ploščica M., Dual spaces of some congruence
lattices, Topology and its Applications 131(2003),
1-14. pdf
26. Ploščica M., Separation in distributive congruence
lattices, Algebra Universalis 49(2003), 1-12. pdf
27. Kuchmei V., Ploščica M., Congruence-preserving
functions on Stone and Kleene algebras, Algebra
Universalis 51(2004), 419-434. pdf
28. Ploščica 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. pdf
29. Ploščica M., Relative separation in distributive
congruence lattices, Algebra Universalis 52(2004),
313-323. pdf
30. Ploščica M., Ideal Lattices of locally matricial
algebras, Tatra Mountains Math. Publications 30(2005),
123-134. pdf
31.Ploščica M., Local separation in distributive
semilattices, Algebra Universalis 54(2005), 323-335. pdf
32. Ploščica M., Congruence
lattices
of lattices with m-permutable congruences, Acta
Scientiarum Mathematicarum (Szeged), 74(2008), 23-36. pdf
33. Ploščica M., Non-representable
distributive
semilattices, Journal of Pure and Applied Algebra
212(2008), 2503-2512. pdf
34. Ploščica M., Haviar M., Congruence-preserving functions on distributive
lattices, Algebra Universalis 59(2008), 179-196. pdf
35. Ploščica M., Iterative
separation
in distributive congruence lattices, Mathematica
Slovaca 59(2009), 221-230. pdf
36. Ploščica M., Congruence
lifting
of semilattice diagrams, International Journal of
Algebra and Computation 19(2009), 911-924. pdf
37. Ploščica M., Congruence
preserving
functions on median algebras, Contributions to General
Algebra 19 (proc. conf. Olomouc 2010), Verlag Johannes Heyn,
Klagenfurt 2010, 179-186. pdf
38. Gillibert P., Ploščica M., Congruence FD-maximal varieties of algebras,
International J. of Algebra and Computation 22,
1250053 (2012) [14 pages] DOI: 10.1142/S0218196712500531. pdf
39. Krajník F., M. Ploščica M., Congruence lattices in
varieties with compact intersection property, Czechoslovak
Math. J. 64(2014), 115-132. pdf
40. Krajník F., Ploščica M., Compact intersection
property and description of congruence lattices, Mathematica
Slovaca 64(2014), 643-664. pdf
41. Guričan J., Ploščica M., The strong endomorphism
kernel property for modular p-algebras and for distributive
lattices, Algebra Universalis 75(2016), 243-255. pdf
42. Ploščica M., Uncountable critical points for
congruence lattices, Algebra Universalis 75(2016),
415-429. pdf
43. Ploščica M., Evaporation schemes in congruence
lattices of majority algebras, Colloquium Math. 159(2020),
195-206. pdf