Publikációk/Publications

[1] K. Kátai-Urbán and Cs. Szabó, Free spectrum of the variety generated by the five element combinatorial Brandt semigroup, Semigroup Forum 73 (2006) 253--260.


[2] K. Kátai-Urbán and Cs. Szabó, On the free spectrum of the variety generated by the combinatorial completely 0-simple semigroups, Glasgow Math. J. 49 (2007) 93--98.


[3] K. Kátai-Urbán and Á. Tritz, Semilattice orders on the homomorphic images of the Rédei semigroup, Period. Math. Hungar. 55 (2007), 61--79.


[4] K. Kátai-Urbán and Cs. Szabó, The pn sequence of semigroup varieties generated by combinatorial 0-simple semigroups, Algebra Universalis 59 (2008), 435--446.


[5] G. Horváth, K. Kátai-Urbán, P. P. Pach, G. Pluhár, A. Pongrácz, Cs. Szabó, The number of monounary algebras, Algebra Universalis, 66 (2011), 81--83. (pdf)


[6] G. Horváth, K. Kátai-Urbán, P. P. Pach, G. Pluhár, A. Pongrácz, Cs. Szabó, On free algebras in varieties generated by iterated semidirect products of semilattices, Int. J. Algebra Comput., 22, 7 (2012) (pdf)


[7] K. Kátai-Urbán, P. P. Pach, G. Pluhár, A. Pongrácz, Cs. Szabó, On the word problem for syntactic monoids of piecewise testable languages, Semigroup Forum, 84 (2012) 323--332. (pdf)


[8] K. Kátai-Urbán, A. Pongrácz, Cs. Szabó, The fine- and generative spectra of varieties of monounary algebras, Algebra Universalis, 80, 22 (2019)


[9] G. Horváth, K. Kátai-Urbán, Cs. Szabó, Monomial clones over Fq, Algebra Universalis, 80, 23 (2019) (pdf)


[10] K. Kátai-Urbán, T. Waldhauser, Multiplication of matrices over lattices, J. Mult.-Valued Logic Soft Comput., 39 (2022), 111--134. (pdf)


[11] K. Kátai-Urbán, T. Waldhauser, Measuring associativity: graph algebras of undirected graphs, Algebra Universalis, submitted. (pdf)