Selected Research Publications

  1. Tkadlec, J.: Constructions of some non-σ-porous sets on the real line, Real Anal. Exchange 9 (1983/84), 473–482. postprint
  2. Tkadlec, J.: Construction of a finite Borel measure with σ-porous sets as null sets, Real Anal. Exchange 12 (1986/87), 349–353. postprint
  3. Pták, P.; Tkadlec, J.: A note on determinacy of measures, Čas. pěst. mat. 113 (1988), 435–436. postprint
  4. Tkadlec, J.: A note on a function representation of orthomodular posets, Math. Slovaca 39 (1989), 27–29. postprint
  5. Tkadlec, J.: Set representations of orthoposets, Proc. 2nd Winter School on Measure Theory (Liptovský Ján, 1990) Slovak. Acad. Sci., Bratislava, 1990, 204–207. postprint
  6. Navara, M.; Tkadlec, J.: Automorphisms of concrete logics, Comment. Math. Univ. Carolin. 32 (1991), 15–25. postprint
  7. Tkadlec, J.: A note on distributivity in orthoposets, Demonstratio Math. 24 (1991), 343–346. postprint
  8. Tkadlec, J.: Partially additive states on orthomodular posets, Colloq. Math. 62 (1991), 7–14. postprint
  9. Tkadlec, J.: Vector states on orthoposets and extremality, J. Math. Phys. 32 (1991), 1117–1120. doi:10.1063/1.529308, postprint
  10. Müller, V.; Pták, P.; Tkadlec, J.: Concrete quantum logics with covering properties, Internat. J. Theoret. Phys. 31 (1992), 843–854. doi:10.1007/BF00678549, postprint
  11. Tkadlec, J.: Boolean orthoposets and two-valued states on them, Rep. Math. Phys. 31 (1992), 311–316. doi:10.1016/0034-4877(92)90021-R, postprint
  12. Tkadlec, J.: Boolean orthoposets and two-valued Jauch–Piron states, Tatra Mt. Math. Publ. 3 (1993), 155–160. postprint
  13. Tkadlec, J.: Partially additive measures and set representations of orthoposets, J. Pure Appl. Algebra 86 (1993), 79–94. doi:10.1016/0022-4049(93)90155-M, postprint
  14. Tkadlec, J.: Properties of Boolean orthoposets, Internat. J. Theoret. Phys. 32 (1993), 1993–1997. doi:10.1007/BF00979521, postprint
  15. Tkadlec, J.: Boolean orthoposets—concreteness and orthocompleteness, Math. Bohem. 119 (1994), 123–128. postprint
  16. Tkadlec, J.: Subadditivity of states on quantum logics, Internat. J. Theoret. Phys. 34 (1995), 1767–1774. doi:10.1007/BF00676290, postprint
  17. Pták, P.; Tkadlec, J.: The dog-and-rabbit chase revisited, Acta Polytechnica 36 (1996), 5–10. postprint
  18. Svozil, K.; Tkadlec, J.: Greechie diagrams, nonexistence of measures in quantum logics, and Kochen–Specker-type constructions, J. Math. Phys. 37 (1996), 5380–5401. doi:10.1063/1.531710, postprint
  19. Tkadlec, J.: Conditions that force an orthomodular poset to be a Boolean algebra, Tatra Mt. Math. Publ. 10 (1997), 55–62. postprint
  20. Tkadlec, J.: The solution to a problem posed by P. Konôpka, Tatra Mt. Math. Publ. 10 (1997), 29–31. postprint
  21. Tkadlec, J.: Concrete quantum logics with generalised compatibility, Math. Bohem. 123 (1998), 213–218. postprint
  22. Tkadlec, J.: Greechie diagrams of small quantum logics with small state spaces, Internat. J. Theoret. Phys. 37 (1998), 203–209. doi:10.1023/A:1026646229896, postprint
  23. Tkadlec, J.: Triangular norms with continuous diagonals, Tatra Mt. Math. Publ. 16 (1999), 187–195. postprint
  24. Tkadlec, J.: Diagrams of Kochen–Specker type constructions, Internat. J. Theoret. Phys. 39 (2000), 921–926. doi:10.1023/A:1003695317353, postprint
  25. Tkadlec, J.: Representations of orthomodular structures. In Ordered Algebraic Structures (ed. W. C. Holland), Algebra, Logic and Appl. Series Vol. 16, Gordon and Breach Sci. Pub., 2001, 153–158. postprint
  26. Bruha, I.; Tkadlec, J.: Rule quality for multiple-rule classifier: empirical expertise and theoretical methodology, Intelligent Data Analysis 7 (2003), 99–124.
  27. Tkadlec, J.; Bruha, I.: Formal aspects of a multiple-rule classifier, Int. J. Pattern Rec. Art. Intell. 17 (2003), 581–600. doi:10.1142/S021800140300254X,
  28. Tkadlec, J.: Central elements of effect algebras, Internat. J. Theoret. Phys. 43 (2004), 1363–1369. doi:10.1023/B:IJTP.0000048621.17418.bb, postprint
  29. Tkadlec, J.: Central elements of atomic effect algebras, Internat. J. Theoret. Phys. 44 (2005), 2295–2302. doi:10.1007/s10773-005-8024-0, postprint
  30. Tkadlec, J.: Atomic sequential effect algebras, Internat. J. Theoret. Phys. 47 (2008), 185–192. doi:10.1007/s10773-007-9492-1, postprint
  31. Tkadlec, J.: Atomistic and orthoatomistic effect algebras, J. Math. Phys. 49 (2008), 053505, 5 pages. doi:10.1063/1.2912228, postprint
  32. Svozil, K.; Tkadlec, J.: On the solution of trivalent decision problems by quantum state identification, Nat. Comput. 8 (2009), 539–546. doi:10.1007/s11047-009-9112-5, postprint
  33. Tkadlec, J.: Effect algebras with the maximality property, Algebra Universalis 61 (2009), 187–194. doi:10.1007/s00012-009-0013-3, postprint
  34. Tkadlec, J.: Common generalizations of orthocomplete and lattice effect algebras, Internat. J. Theoret. Phys. 49 (2010), 3279–3285. doi:10.1007/s10773-009-0108-9, postprint
  35. Caragheorgheopol, D.; Tkadlec, J.: Atomic effect algebras with compression bases, J. Math. Phys. 52 (2011), 013512, 9 pages. doi:10.1063/1.3533918, postprint
  36. Caragheorgheopol, D.; Tkadlec, J.: Characterizations of spectral automorphisms and a Stone-type theorem in orthomodular lattices, Internat. J. Theoret. Phys. 50 (2011), 3750–3760. doi:10.1007/s10773-011-0738-6, postprint
  37. Tkadlec, J.: Note on generalizations of orthocomplete and lattice effect algebras, Internat. J. Theoret. Phys. 50 (2011), 3915–3918. doi:10.1007/s10773-011-0781-3, postprint
  38. Tkadlec, J.; Turunen, E.: Commutative bounded integral residuated orthomodular lattices are Boolean algebras, Soft Comput. 15 (2011), 635–636. doi:10.1007/s00500-010-0572-4, postprint
  39. Tkadlec, J.: Distributivity and associativity in effect algebras, Fuzzy Sets Syst. 2895 (2016), 151–156. doi:10.1016/j.fss.2015.06.025, postprint
  40. Tkadlec, J.; ®áček, P.: States on effect algebras, their products and horizontal sums, Math. Slovaca 66 (2016), 1029–1036. doi:10.1515/ms-2015-0200,
  41. Tkadlec, J.: Properties of effect algebras based on upper bounds, Internat. J. Theoret. Phys. 56 (2017), 4133–4142. doi:10.1016/j.fss.2015.06.025,

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