211 research outputs found

    The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E

    Get PDF
    The aim of this paper is to investigate the lattices of group fuzzy congruences and normal fuzzy subsemigroups on E-inversive semigroups. We prove that group fuzzy congruences and normal fuzzy subsemigroups determined each other in E-inversive semigroups. Moreover, we show that the set of group t-fuzzy congruences and the set of normal subsemigroups with tip t in a given E-inversive semigroup form two mutually isomorphic modular lattices for every t∈0,1

    Fuzzy regular congruences on an E-inversive E-semigroup

    Full text link

    Two-valued states on Baer ∗^*-semigroups

    Get PDF
    In this paper we develop an algebraic framework that allows us to extend families of two-valued states on orthomodular lattices to Baer ∗^*-semigroups. We apply this general approach to study the full class of two-valued states and the subclass of Jauch-Piron two-valued states on Baer ∗^*-semigroups.Comment: Reports on mathematical physics (accepted 2013
    • …
    corecore