1 citations · 1 across the 6 of their papers we have counts for
6 papers
A generic construction of free algebras in varieties of Hilbert algebras and Brouwerian semilattices
Tomasz Kowalski, Katarzyna Słomczyńska
We give a generic construction of the n-generated free Hilbert algebras and Brouwerian semilattices by a uniform method applicable to any variety of Hilbert algebras or Brouwerian…
Decidable varieties of p-algebras
Tomasz Kowalski, Katarzyna Słomczyńska
We show that for quasivarieties of p-algebras the properties of (i) having decidable first-order theory and (ii) having decidable first-order theory of the finite members, coincide…
Quasivarieties of p-algebras: some new results
Tomasz Kowalski, Katarzyna Słomczyńska
We investigate quasivarieties of (distributive) p-algebras. We sharpen some previous results, give a better picture of the subquasivariety lattice, and prove that quasivarieties ge…
Free p-algebras revisited: an algebraic investigation of implication-free intuitionism
Tomasz Kowalski, Katarzyna Słomczyńska
We give a new construction of free distributive p-algebras. Our construction relies on a detailed description of completely meet-irreducible congruences, so it is purely universal…
The structure of completely meet irreducible congruences in strongly Fregean algebras
Katarzyna Słomczyńska
A strongly Fregean algebra is an algebra such that the class of its homomorphic images is Fregean and the variety generated by this algebra is congruence modular. To understand the…
Unification and projectivity in Fregean varieties
Katarzyna Słomczyńska
In some varieties of algebras one can reduce the question of finding most general unifiers (mgus) to the problem of the existence of unifiers that fulfill the additional condition…