211 research outputs found
The Lattices of Group Fuzzy Congruences and Normal Fuzzy Subsemigroups on E
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
Two-valued states on Baer -semigroups
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
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