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