Životopis Karla Pavla: Emise a Kariéra

19.03.2026

Prof. RNDr. Karel Pavel se narodil 21.

Vzdělání a akademická kariéra

1977 - 1981: Gymnázium Slovanské nám.
1986 - 1990: Studijní pobyt, interní aspirant na katedře algebry a geometrie PřF MU Brno; věd. hodnost CSc. získána v r. 1990.
Diplomová práce na téma Kvantové svazy, získán titul RNDr.

Výzkumné projekty

Řešitel za MU: M. r. (LI01038), nositel projektu: J.
1999-2004: Vědeckovýzkumný záměr Matematické struktury algebry a geometrie č. 1.

Účast na konferencích

Karel Pavel se aktivně účastnil mnoha mezinárodních konferencí, kde prezentoval své výzkumy. Následuje přehled některých z nich:

2014

International Conference On Algebra And Applications - 2014 (ICAA-2014), Indie, Visakhapatnam, lecture How to Produce Tense E-Operators in Lattice Effect Algebras, 26.4.
12th Conference on Fuzzy Set Theory and Applications (FSTA 2014), Slovensko, Liptovský Ján, lecture Representation of functions between semisimple MV-algebras, 26. 2.

2013

AAMP XI, AAMP XII, Praha, Česká republika, lecture Realizations of partially ordered abelian groups, 29.10. - 3.11.2013.
Konference IEEE, 22nd Intern.Workshop on Post-Binary ULSI Systems, Reed-Muller 2013 Workshop, Japonsko, Toyama, Tense Operators and Dynamic De Morgan Algebras, 18.
Konference UNILOG 2013, Brazílie, Rio de Janeiro, joint lecture with I. Chajda Dynamic Algebras as an Axiomatization of Modal and Tense Logics, 1.
AAA85 Lucemburk, Lucembursko, 30.1.
On the extensions of Di Nola's Theorem, 25.2. - 2.3.2013.

2012

11th Conference on Fuzzy Set Theory and Applications (FSTA 2012), Slovensko, Liptovský Ján, lecture Musings about Triple Representation Theorem for effect algebras, 30.1.
ISMVL-2012 - IEEE 42nd International Symposium on Multiple-Valued Logic, Victoria BC, Canada, lecture Triple Representation Theorem for Homogeneous Effect Algebras, 7.
Analytic and algebraic methods X, Villa Lanna, Praha, Česká republika, lecture Realization of Generalized Effect Algebras, 3. - 7.6.2012.
Summer School on Ordered Sets and General Algebra, Nový Smokovec, Slovenská republika, Operators on MV-algebras and their representations, 2. - 7.9.2012.
Logic, Algebra and Truth Degrees 2012, Japonsko, Kanazawa, lecture Tense operators on MV-algebras, 8.-19.9.2012.
SILFS 2012, Miláno, Itálie, joint lecture with I. 19.11-22.11.2012.

2011

AAA84, Salzburg, Rakousko, lecture Meager elements in Archimedean atomic lattice effect algebras, 3.
Analytic and algebraic methods VII, Villa Lanna, Praha, Česká republika, lecture PT-Symmetry in (generalized) effect algebras, 16.
Quantum logic and probability 2011, Kočovce, Slovenská republika, lecture The role of meager elements in homogeneous effect algebras, 16.-20.5.2011.
Analytic and algebraic methods IX, Villa Lanna, Praha, Česká republika, lecture Triple Representation Theorem for homogeneous effect algebras, 12. - 15.12.2011.

2010

10th Conference on Fuzzy Set Theory and Applications (FSTA 2010), Slovensko, Liptovský Ján, lecture Modularity, atomicity and states in Archimedean lattice effect algebras, 31.1.
Analytic and algebraic methods in physics, Praha, Česká republika, lecture States on Archimedean atomic lattice effect algebras, 9.-11.5.
Pseudo-Hermitian Hamiltonians in Quantum Physics IX, Zhejiang University, Hangzhou, China, lecture States and conditional states in Archimedean atomic lattice effect algebras, 21.6.-24.6. 2010.

2009

Quantum logic and probability 2009, Kočovce, Slovenská republika, lecture Archimedean atomic lattice effect algebras with almost orthogonal set of atoms, 24.-27.2. 2009.
Workshop ECC, Třešť, Česká republika, lecture Atomic Archimedean lattice effect algebras and states on them, 30.-31.10. 2009.
Workshop Mathematical Structures for Non-standard Logics, Praha, Česká republika, lecture Non-orthomodular lattice effect algebras possessing state, 10.-11.12.

2008

9th Conference on Fuzzy Set Theory and Applications (FSTA 2008), Slovensko, Liptovský Ján, lecture States on Atomic Archimedean lattice effect algebras, 3.
Applications of Topological Dualities to Measure Theory in Algebraic Many-Valued Logic, Milán, Itálie, lecture Lattice Effect Algebras Possessing Two-valued States, 18.-22.5.2008.

2007

Conference on Order, Algebra and Logics v Nashville, USA, 10.6. -17.6. 2007, lecture Projective biframes: a general view.
AAA 75 (Workshop on General Algebra), Darmstadt, Německo, 1.11. -4.11.
Workshop: Quantum Structures Structures v Bratislavě, Slovenská republika, 21.11.-24.11. 2007, lecture Atomic Archimedean lattice effect algebras.

2006

Conference on Lattice Theory, In honour of the 70th birthday of George Grätzer and E. Tamás Schmidt, AAA 72, Budapešť, Maďarsko, 5.6.-10.6.
IQSA 2006, University of Malta, Malta, 7.7.-15.7. 2006, lecture Projective quantales: a general view.
TOPOSYM 2006, Praha, ČR, 13.8.-18.8.
PSSL84, Braunschweig, Německo, 13.10.-15.10.2006, lecture Projective quantales and related structures; a general view.

2001

IQSA conference 2001, Cesenatico, Italy, March 29 - April 7, 2001, lecture Morita equivalence for quantum structures.

Ostatní

Kvantové svazy I, II, listopad 2002, UP Olomouc.

Vybrané publikace

Karel Pavel je autorem a spoluautorem mnoha publikací v oblasti matematiky a teoretické fyziky. Následuje výběr z jeho publikační činnosti:

ZHANG, Xia; Jan PASEKA; Jianjun FENG a Yudong CHEN. Reflectors to quantales. Fuzzy Sets and Systems. Elsevier, 2023, roč. 455, March, s. 102-123. ISSN 0165-0114. URL
ZHANG, Xia a Jan PASEKA. On injective constructions of S-semigroups. Fuzzy Sets and Systems. Amsterdam: Elsevier, 2019, roč. 373, OCT 15 2019, s. 78-93. ISSN 0165-0114. URL
CHAJDA, Ivan; Miroslav KOLARIK a Jan PASEKA. Evolution of objects and concepts. Soft computing. New York: Springer, 2019, roč. 23, č. 19, s. 9449-9458. ISSN 1432-7643. URL
CHAJDA, Ivan; Helmut LAENGER a Jan PASEKA. The Logic of Lattice Effect Algebras Based on Induced Groupoids. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING. PHILADELPHIA: OLD CITY PUBLISHING INC, 2019, roč. 33, č. 3, s. 161-175. ISSN 1542-3980. URL
KRUML, David; Jan PASEKA a Thomas VETTERLEIN. On the Coextension of Cut-Continuous Pomonoids. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS. DORDRECHT: SPRINGER, 2019, roč. 36, č. 2, s. 271-290. ISSN 0167-8094. URL
EMIR, Kadir; David KRUML; Jan PASEKA a Iveta SELINGEROVÁ. A simplified probabilistic validation of production flows. In Bruzzone, De Felice, Dias, Massei and Solis. Proceedings of 18th International Conference on Modeling and Applied Simulation. GENOVA, ITALY: DIME UNIVERSITY OF GENOA, 2019, s. 166-173. ISBN 978-88-85741-29-4.
PASEKA, Jan a David KRUML. Nuclei and conuclei on Girard posets. Online. In Vilém Novák, Vladimír Mařík, Martin Štěpnička, Mirko Navara, Petr Hurtík,. Atlantis Studies in Uncertainty Modelling, volume 1. Neuveden: Atlantis Press, 2019, s. 289-296. ISBN 978-94-6252-770-6. URL
PASEKA, Jan a David KRUML. Categoric simulation of production flows. In Bruzzone, De Felice, Frydman, Longo, Massei and Solis. Proceedings of the International Conference on Modeling and Applied Simulation 2018. GENOVA, ITALY: DIME UNIVERSITY OF GENOA, 2018, s. 68-75. ISBN 978-88-85741-07-2.
PASEKA, Jan a Radek ŠLESINGER. A representation theorem for quantale valued sup-algebras. In R. Wille. Proceedings of The International Symposium on Multiple-Valued Logic, 48th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2018. Linz: Springer, 2018, s. 91-96. ISBN 978-1-5386-4463-8.
CHAJDA, Ivan; Helmut LÄNGER a Jan PASEKA. Uniquely Complemented Posets. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS. DORDRECHT: SPRINGER, 2018, roč. 35, č. 3, s. 421-431. ISSN 0167-8094. URL
PASEKA, Jan a Ivan CHAJDA. The Poset-based Logics for the De Morgan Negation and Set Representation of Partial Dynamic De Morgan Algebras. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING. PHILADELPHIA, PA 19123 USA: OLD CITY PUBLISHING INC, 2018, roč. 31, č. 3, s. 213-237. ISSN 1542-3980. URL
CHAJDA, Ivan a Jan PASEKA. De Morgan Algebras with Tense Operators. JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING. PHILADELPHIA: OLD CITY PUBLISHING INC, 2017, roč. 28, č. 1, s. 29-45. ISSN 1542-3980.
CHAJDA, Ivan a Jan PASEKA. Dynamic Logic Assigned to Automata. International Journal of Theoretical Physics. NEW YORK: SPRINGER/PLENUM PUBLISHERS, 2017, roč. 56, č. 12, s. 3794-3806. ISSN 0020-7748. URL
BOTUR, Michal a Jan PASEKA. Partial tense MV-algebras and related functions. Fuzzy Sets and Systems. AMSTERDAM: ELSEVIER SCIENCE BV, 2017, roč. 326, November, s. 24-33. ISSN 0165-0114. URL
CHAJDA, Ivan; Helmut LÄNGER a Jan PASEKA. The Groupoid-Based Logic for Lattice Effect Algebras. In 2017 IEEE 47TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2017). LOS ALAMITOS: IEEE, 2017, s. 230-235. ISSN 2378-2226. URL
CHAJDA, Ivan a Jan PASEKA. TRANSITION OPERATORS ASSIGNED TO PHYSICAL SYSTEMS. Reports on Mathematical Physics. ISSN 0034-4877.
CHAJDA, Ivan a Jan PASEKA. Galois connections and tense operators on q-effect algebras. Fuzzy Sets and Systems. AMSTERDAM: ELSEVIER SCIENCE BV, 2016, roč. 298, September, s. 56-68. ISSN 0165-0114.
CHAJDA, Ivan a Jan PASEKA. Set Representation of Partial Dynamic De Morgan algebras. In 2016 IEEE 46TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2016). LOS ALAMITOS: IEEE COMPUTER SOC, 2016, s. 119-124. ISBN 978-1-4673-9488-8.
PASEKA, Jan; Sergejs SOLOVJOVS a M. STEHLIK. On a topological universe of L-bornological spaces. Soft computing. NEW YORK: Springer, 2016, roč. 20, č. 7, s. 2503-2512. ISSN 1432-7643.
PASEKA, Jan a Sergejs SOLOVJOVS. Categorical foundations of variety-based bornology. Fuzzy Sets and Systems. AMSTERDAM: ELSEVIER SCIENCE BV, 2016, roč. 291, May, s. 132-143. ISSN 0165-0114.
NIEDERLE, Josef a Jan PASEKA. ON REALIZATION OF EFFECT ALGEBRAS. Mathematica Slovaca. BERLIN: Slovak Academy of Sciences, 2016, roč. 66, č. 2, s. 343-358. ISSN 0139-9918.
PASEKA, Jan; Sergejs SOLOVJOVS a Milan STEHLÍK. Lattice-valued bornological systems. Fuzzy Sets and Systems. 2015, roč. 259, January, s. 68-88. ISSN 0165-0114. URL
CHAJDA, Ivan a Jan PASEKA. Dynamic Order Algebras as an Axiomatization of Modal and Tense Logics. International Journal of Theoretical Physics. NEW YORK: Springer, 2015, roč. 54, č. 12, s. 4327-4340. ISSN 0020-7748.
JANDA, Jiří a Jan PASEKA. A Hilbert Space Operator Representation of Abelian Po-Groups of Bilinear Forms. International Journal of Theoretical Physics. NEW YORK: Springer, 2015, roč. 54, č. 12, s. 4349-4355. ISSN 0020-7748.
BOTUR, Michal a Jan PASEKA. Filters on Some Classes of Quantum B-Algebras. International Journal of Theoretical Physics. NEW YORK: Springer, 2015, roč. 54, č. 12, s. 4397-4409. ISSN 0020-7748.
CHAJDA, Ivan a Jan PASEKA. Tense operators in fuzzy logic. Fuzzy Sets and Systems. AMSTERDAM: ELSEVIER SCIENCE BV, 2015, roč. 276, October, s. 100-113. ISSN 0165-0114.
BOTUR, Michal a Jan PASEKA. Another proof of the completeness of the Lukasiewicz axioms and of the extensions of Di Nola's Theorem. Algebra Universalis. BASEL: Birkhäuser Verlag, 2015, roč. 73, 3-4, s. 277-290. ISSN 0002-5240.
BOTUR, Michal a Jan PASEKA. On tense MV-algebras. Fuzzy Sets and Systems. AMSTERDAM: ELSEVIER SCIENCE BV, 2015, roč. 259, January, s. 111-125. ISSN 0165-0114.
PASEKA, Jan a Ivan CHAJDA. Algebraic Approach to Tense Operators. Lemgo: Heldermann Verlag, 2015, 204 s. Research and Exposition 35. ISBN 978-3-88538-235-5.
PASEKA, Jan; Sergejs SOLOVJOVS a Milan STEHLIK. On the category of lattice-valued bornological vector spaces. Journal of Mathematical Analysis and Applications. the Netherlands: Elsevier, 2014, roč. 419, č. 1, s. 138-155. ISSN 0022-247X.
CHAJDA, Ivan; Jiří JANDA a Jan PASEKA. How to Produce S-Tense Operators on Lattice Effect Algebras. Foundations of Physics. NEW YORK: Springer Science+Business Media B. V., 2014, roč. 44, č. 7, s. 792-811. ISSN 0015-9018.
PASEKA, Jan. Representations of zero-cancellative pomonoids. Mathematica Slovaca. WARSAW: Slovak Academy of Sciences, 2014, roč. 64, č. 3, s. 777-788. ISSN 0139-9918.
BOTUR, Michal; Ivan CHAJDA; Radomír HALAŠ; Jan KÜHR a Jan PASEKA. Algebraic Methods in Quantum Logic. Olomouc: Palacký University, Olomouc, 2014, 206 s. Book series - Academic publications, 2014/495. ISBN 978-80-244-4166-5.
PASEKA, Jan; Sylvia PULMANNOVÁ a Zdenka RIEČANOVÁ. Properties of Quasi-Hermitian Operators Inherited from Self-Adjoint Operators. International Journal of Theoretical Physics. Springer, 2013, roč. 52, č. 6, s. 1994-2000. ISSN 0020-7748. URL
PASEKA, Jan; Ivan CHAJDA a Lei QUIANG. On Realization of Partially Ordered Abelian Groups. International Journal of Theoretical Physics. Springer, 2013, roč. 52, č. 6, s. 2028-2037. ISSN 0020-7748. URL
PASEKA, Jan; Wu JUNDE a Lei QIANG. Almost Orthogonality and Hausdorff Interval Topologies of de Morgan Lattices and Lattice Effect Algebras. International Journal of Theoretical Physics. Springer, 2013, roč. 52, č. 6, s. 2055-2064. ISSN 0020-7748. URL
NIEDERLE, Josef a Jan PASEKA. Musings about the Triple Representation Theorem for Effect Algebras. Order. Netherlands: Springer, 2013, roč. 30, č. 2, s. 527-539. ISSN 0167-8094. URL
PASEKA, Jan a Zdenka RIEČANOVÁ. Inherited Properties of Effect Algebras Preserved by Isomorphisms. Acta Polytechnica. Prague: Czech Technical University in Prague, 2013, roč. 53, č. 3, s. 308-313. ISSN 1210-2709. URL
CHAJDA, Ivan a Jan PASEKA. Tense Operators and Dynamic De Morgan algebras. In 2013 IEEE 43RD INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2013). NEW YORK: IEEE, 2013, s. 225-230. ISBN 978-0-7695-4976-7.
PASEKA, Jan. Operators on MV-algebras and their representations. FUZZY SETS AND SYSTEMS. AMSTERDAM: Elsevier Science, 2013, roč. 232, SI, s. 62-73. ISSN 0165-0114.
PASEKA, Jan a Josef NIEDERLE. More about sharp and meager elements in Archimedean atomic lattice effect algebras. Soft computing. Springer-Verlag GmbH, 2012, roč. 16, č. 1, s. 109-119. ISSN 1432-7643. URL
NIEDERLE, Josef a Jan PASEKA. Triple Representation Theorem for homogeneous effect algebras. In 2012 42ND IEEE INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL). NEW YORK: IEEE, 2012, s. 337-342. ISBN 978-0-7695-4673-5. URL
CHAJDA, Ivan a Jan PASEKA. Dynamic effect algebras and their representations. Soft computing. NEW YORK: Springer-Verlag GmbH, 2012, roč. 16, č. 10, s. 1733-1741. ISSN 1432-7643.
NIEDERLE, Josef a Jan PASEKA. MacNeille completion of centers and centers of MacNeille completions of lattice effect algebras: Generic scheme behind. Mathematica Slovaca. Slovak Academy of Sciences, 2012, roč. 62, č. 6, s. 1193-1208. ISSN 0139-9918.
PASEKA, Jan a Jiří JANDA. A Dynamic Effect Algebras with dual operation. MATHEMATICS FOR APPLICATIONS. Brno, 2012, roč. 1, č. 1, s. 79-89. ISSN 1805-3610. URL
PASEKA, Jan. ON REALIZATION OF GENERALIZED EFFECT ALGEBRAS. Reports on Mathematical Physics. ISSN 0034-4877.
PASEKA, Jan a Josef NIEDERLE. Triple Representation Theorem for orthocomplete homogeneous effe...