LIST OF PUBLICATIONS

LIST OF PUBLICATIONS

Research papers

[1] Lattices whose congruence lattice is Stone (with T. Katriňák)
      Acta Sci. Math. (Szeged) 51 (1987), 81-91

[2] Lattices whose congruence lattices satisfy Lee's identities
      Demonstratio Math. No. 1-2 XXIV (1991), 247-261

[3] Semi-discrete lattices with (L_n)-congruence lattices (with T. Katrinak)
      Contributions to General Algebra 7 (1991), Verlag Holder-Pichler-Tempsky, Wien,
      189-195

[4] Induced pseudoorders (with I. Chajda)
      Acta UPO, Fac. rer. nat.., 100, Mathematica XXX (1991), 9-16

[5] On affine completeness of distributive p-algebras
      Glasgow Math.J. 34 (1992), 365-368

[6] Affine complete algebras abstracting Kleene and Stone algebras
      Acta Math. Univ. Comenianae LXII, 2 (1993), 179-190

[7] On a certain construction of MS-algebras
      Portugaliae Math. 51 (1994), 71-83

[8] Affine complete Stone and Post algebras of order n
      Acta Universitatis Mathaei Belii 2 (1994), 19-30

[9] Construction and affine completeness of principal p-algebras
      Tatra Mountains Math. Publ. 5 (1995), 217-228

[10] Affine complete Stone algebras (with. M. Ploščica)
       Algebra Universalis 34 (1995), 355-365

[11] Endoprimal distributive lattices are endodualisable (with B.A. Davey and
       H.A. Priestley), Algebra Universalis 34 (1995), 444-453

[12] The syntax and semantics of entailment in duality theory (with B.A. Davey and
       H.A. Priestley), Journal of Symbolic Logic 60 (1995), 1087-1114

[13] The study of affine completeness for quasi-modular double p-algebras
       Acta Universitatis Mathaei Belii 3 (1995), 17-30

[14] Affine complete algebras abstracting double Stone and Kleene algebras
       Acta Universitatis Mathaei Belii 4 (1996), 39-52

[15] Extension of Birkhoff's duality to the class of all partially ordered sets (with M.
       Ploščica), Preprint, 1996.

[16] Affine completeness of Kleene algebras (with K. Kaarli and M. Ploščica)
       Algebra Universalis 37 (1997), 477-490

[17] Affine completeness of Kleene algebras II (with M. Ploščica)
       Acta Universitatis Mathaei Belii 5 (1997), 51-61

[18] Finitely generated free modular ortholattices I (with P. Konopka, H.A. Priestley
       and C.B.Wegener), International Journal of Theoretical Physics, vol. 36, n. 12
       (1997),  2639-2660

[19] Finitely generated free modular ortholattices II (with P. Konôpka and C.B.
        Wegener), International Journal of Theoretical Physics, vol. 36, n. 12 (1997),
        2661-2679

[20] On order-polynomially completeness of lattices (with M. Ploščica)
       Algebra Universalis 39 (1998), 217-219

[21] A criterion for a finite endoprimal algebra to be endodualisable (with H.A.
        Priestley), Algebra Universalis 42 (1999), 183-193

[22] Endodualisable and endoprimal finite double Stone algebras (with H.A. Priestley)
       Algebra Universalis 42 (1999), 107-130

[23] Finitely generated free modular ortholattices III (with P. Konôpka)
       International Journal of Theoretical Physics, vol 39, no. 3, 2000, 723-731

[24] Finitely generated free modular ortholattices IV (with P. Konôpka)
       Acta Universitatis Mathaei Belii 7 (1999), 13-29

[25] A schizophrenic operation that aids an efficient transfer of strong dualitites
      (with   B.A. Davey), Houston Math. J., vol 26, no. 2 (2000), 215-222

[26] Kleene algebras: a case study of clones and dualities from endomorphisms
       (with B.A. Davey and H.A. Priestley), Acta Sci. Math. (Szeged), Acta Sci. Math.
       (Szeged) 67 (2001), 77-103

[27] Transferring optimal dualities: theory and practice (with B.A. Davey), J. of the
       Australian Math. Soc. 74 (2003), 393--420. PDF

[28] Standard topological quasi-varieties (with D.M. Clark, B.A. Davey, J. Pitkethly
       and M.R. Talukder), Houston Journal of Mathematics, vol. 29, no. 4 (2003),
       859-887. PDF

[29] Applications of Priestley duality in transferring optimal dualities (with B.A.
       Davey), Studia Logica 78 (2004), 213-236. PDF

[30] Full implies strong, doesn't it? (with B.A. Davey and R. Willard), Algebra
       Universalis 54 (2005), 1-22. PDF

[31] Structural entailment (with B.A. Davey and R. Willard), Algebra Universalis,
        54 (2005), 397-416. PDF

[32] Canonical extensions of Stone algebras: the natural way (with H.A. Priestley),
        Mathematica Slovaca 56 (2006), 53-78. PDF

[33] When is a full duality strong? (with B.A. Davey and T. Niven), Houston Journal of
        Mathematics 33 (2007), 1-22. PDF

[34] Full but not Strong Dualities: Extending the Realm (with B.A. Davey, T. Niven
and N. Perkal), Algebra Universalis, 56 (2007), 37-56. PDF

[35] Boolean topological distributive lattices and canonical extensions (with
B.A. Davey and H.A. Priestley), Applied Categorical Structures 15 (2007), 225-241. PDF

[36] Endodualisable and endoprimal finite double Stone algebras (with H.A. Priestley),
Algebra Universalis 58 (2008), 203-228. PDF

[37] Compatible functions on distributive lattices (with M. Ploščica), Algebra
Universalis 59 (2008), 179-196. PDF

[38] Chessboard Representations and Graceful Labelings of Trees (with M. Ivaška),
M Bel University Preprint, 2010, 12 pp. PDF

[39] On congruence lattices of lattices (with D. Guffová),
M Bel University Preprint, 2010, 10 pp. PDF

Research papers submitted

[40] Using coloured ordered sets to study finite-level full dualities (with B.A. Davey and J. Pitkethly)
27 pp. (submitted).

Other publications

[1] Jubilee: the sixtieth birthday of Professor Tibor Katriňák (with P. Zlatoš)
Acta Univ. Mathaei Belii. 5 (1997), 91--98.

[2] O matematike (hlavne) pre nematematikov (with P. Klenovčan), Inovácie v škole,
2003, 27-31 (In Slovak). ISBN 80-968664-3-5.

[3]   Príprava učiteľov matematiky na PF UMB z pohľadu medzinárodnej spolupráce.
       (with J. Brincková and P. Klenovčan), Zborník z medzinárodnej konferencie
       “História, súčasnosť a perspektívy učiteľského vzdelávania", 2. diel, 8.–9.
       september 2004, Banská Bystrica. PF UMB, 2005, s. 83-85 (In Slovak).
       ISBN 80-8083-107-6.

[4]   Čo by mohli učitelia budúcich učiteľov matematiky vedieť o prvočíslach, Zborník
        príspevkov z konferencie s medzinárodnou účasťou: Induktívne a deduktívne
        prístupy v matematike, Smolenice, 20.-22.4. 2005; vyd. Trnavská univerzita
        (elektronicky), 2005, s. 99-106 (In Slovak). ISBN 80-8082-030-9.

[5]   Professor Tibor Katriňák will be seventy next year (with P. Zlatoš), Mathematica
        Slovaca 56 (2006), 53-78.

[6]   Tangram in mathematics for lower secondary school (with J. Brincková and
        I. Dzúriková), 11 pp. In: Lower Secondary School Teacher Training in
        Mathematics. Comparision and Best Practices. (Edited by F. Favilli),
        PLUS edizioni, Socrates, 2007.

Research reports

[1] Reprezentácie diskrétnych štruktúr a ich aplikácie, Záverečná správa projektu
APVT-51-012502, 43 strán, Banská Bystrica, Október 2005 (In Slovak).