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Effect algebras with the maximality property
(2009)
The maximality property was introduced in [9] in orthomodular posets as
a common generalization of orthomodular lattices and orthocomplete orthomodular
posets. We show that various conditions used in the theory of e ...
Triangular Norms with Continous Daigonals
(1999)
It is an old open question whether a t-norm with a continuous
diagonal must be continuous [7]. We give a partial positive answer for t-norms
with noncontinuous additive generators (constructed by the technique of [1, ...
Conditions that Force an Orthomodular Poset to Be a Boolean Algebra
(1997)
We introduce two new classes of orthomodular posets—the class
of weakly Boolean orthomodular posets and the class of orthomodular posets
with the property of maximality. The main result of this paper is that the ...
Characterizations of spectral automorphisms and a Stone-type theorem in orthomodular lattices
(2011)
The notion of spectral automorphism of an orthomodular lattice was introduced
by Ivanov and Caragheorgheopol [3] to create an analogue of the Hilbert space spectral
theory in the abstract framework of orthomodular lattices. ...
Atomic effect algebras with compression bases
(2011)
Compression base effect algebras were recently introduced by Gudder [6]. They generalize
sequential effect algebras [7] and compressible effect algebras [5]. The present
paper focuses on atomic compression base effect ...
Atomic Sequential Effect Algebras
(2008)
Various conditions ensuring that a sequential effect algebra or the set of sharp
elements of a sequential effect algebra is a Boolean algebra are presented.
Note on generalizations of orthocomplete and lattice effect algebras
(2011)
It is proved that two di erent common generalizations of orthocomplete and
lattice e ect algebras coincide within the class of separable Archimedean e ect algebras.
Common generalizations of orthocomplete and lattice effect algebras
(2010)
Connections between the weak orthocompleteness and the maximality property
in e ect algebras are presented. It is proved that an orthomodular poset with the maximality
property is disjunctive. A characterization of ...
Atomistic and orthoatomistic effect algebras
(2008)
We characterize atomistic effect algebras, prove that a weakly orthocomplete
Archimedean atomic effect algebra is orthoatomistic and present an example of
an orthoatomistic orthomodular poset that is not weakly orthocomplete.
Commutative Bounded Integral Residuated Orthomodular Lattices are Boolean Algebras
(2011)
We show that a commutative bounded
integral orthomodular lattice is residuated iff it is a
Boolean algebra. This result is a consequence of [7,
Theorem 7.31]; however, our proof is independent and
uses other instruments.