Seminar Talk Announcement

• Václav Cenker (Palacky University in Olomouc):

  Free Algebras in Finitely Generated Varieties of Commutative BCK-Algebras

  23.04.2025 16:00Room 419 (zoom) @ Institute of Computer Science

  Pod Vodárenskou věží 2
  Praha, 182 00

  Applied Mathematical Logic Seminar

  In this talk, I will present a description of finitely generated free algebras in certain finitely generated varieties of commutative BCK-algebras. The construction relies on homomorphisms from free commutative BCK-algebras to free ŁBCK-algebras that extend the insertion of generators, allowing us to draw on existing results. A key step involves analyzing valuations and their equivalence classes, which leads to a precise count of the elements of the free algebras and a full structural characterization. In the final part of the talk, I will outline some ongoing work and open questions concerning the axiomatization of subvarieties of commutative BCK-algebras.

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