• Inherited Properties of Effect Algebras Preserved by Isomorphisms 

      Autor: Paseka , Jan; Riečanová , Zdenka
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
      We show that isomorphism of effect algebras preserves properties of effect algebras derived from effect algebraic sum ? of elements. These are partial order, order convergence, order topology, existence of states and other ...
    • Intervals in Generalized Effect Algebras and their Sub-generalized Effect Algebras 

      Autor: Riečanová , Zdenka; Zajac , Michal
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
      We consider subsets G of a generalized effect algebra E with 0∈G and such that every interval [0, q]G = [0, q]E ∩ G of G (q ∈ G , q ≠ 0) is a sub-effect algebra of the effect algebra [0, q]E. We give a condition on E and ...
    • MAXIMAL SUBSETS OF PAIRWISE SUMMABLE ELEMENTS IN GENERALIZED EFFECT ALGEBRAS 

      Autor: Riečanová , Zdenka; Janda , Jiří
      (České vysoké učení technické v PrazeCzech Technical University in Prague, 2013)
      We show that in any generalized effect algebra (G;⊕, 0) a maximal pairwise summable subset is a sub-generalized effect algebra of (G;⊕, 0), called a summability block. If G is lattice ordered, then every summability ...