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

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

[17] 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 

[18] 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

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

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

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

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

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

[24] 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

[25] 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

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

[27] 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

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

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

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

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

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

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

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

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

[36] Compatible functions on distributive lattices (with M. Ploščica), A special issue dedicated to
the 70-ies birthdays of professors G. Grätzer and E.T. Schmidt, Algebra Universalis 59 (2008), 
179-196. PDF

[37] Superprimes and Generalized Dirichlet Theorem (with P. Maličký), Acta Universitatis Matthiae Belii,
ser. Mathematics 15 (2009), 21–-35. PDF

[38] Lattices with relative Stone congruence lattices (with D. Guffová), Contributions to
General Algebra 19 (2010), 81-90. Verlag Johannes Heyn, Klagenfurt. PDF

[39] Lattices with relative Stone congruence lattices II (with D. Guffová),
Acta Universitatis Matthiae Belii, ser. Mathematics 17 (2010), 41–55. PDF

[40] Using coloured ordered sets to study finite-level full dualities (with B.A. Davey and J.G. Pitkethly),
Algebra Universalis 64 (2010), 69-100. PDF

[41] Transferral of entailment in duality theory: dualisability (with M.J. Gouveia), Czech. Math. J. 61 (136) (2011), 41–63. PDF

[42] Transferral of entailment in duality theory II: strong dualisability (with M.J. Gouveia), Czech. Math. J. 61 (136) (2011), 401–417
PDF

[43] Modified Priestley dualities as natural dualities (with B.A. Davey), Lattice Theory: Foundation (G. Grätzer), Springer, 2011,
434–-437.

[44] Natural extensions and profinite completions of algebras (with B.A. Davey, M.J. Gouveia and H.A. Priestley),
Algebra Universalis 66 (2011), 205-241.

[45] Multisorted dualisability: change of base (with B.A. Davey, M.J. Gouveia and H.A. Priestley),
Algebra Universalis 66 (2011) 331–336.

[46] Full dualisability is independent of the generating algebra (with B.A. Davey and J.G. Pitkethly), 14 pp.,
Algebra Universalis, to appear.

[47] Natural dualities in partnership (with B.A. Davey and H.A. Priestley), 17 pp., Appl. Categ. Structures, to appear.

[48] A fresh perspective on canonical extensions for bounded lattices (with A.P.K. Craig and H.A. Priestley), 22 pp.,
Appl. Categ. Structures, 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.

[7] Fonzo Haviar is seventy this year (with Ľ. Snoha), Acta Univ. Mathaei Belii. 15 (2009), 5-10.

Preprints

[1] Extension of Birkhoff’s duality to the partially ordered sets (with M. Ploščica), 
      Preprint, 1996, 7 pp.

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

[3] Dinitz Problem and Corresponding Computer Programs and Conjectures (with M. Ivaška), 
      Preprint, 2011, 21 pp.

[4] Triple constructions of MS-algebras (with A. Badawy and D. Guffová),
Preprint, 2011, 14 pp.