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Now showing items 1-10 of 14

#### 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 ...

#### 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, ...

#### Concrete Quantum Logics with Generalised Compatibiliy

(1998)

We present three results stating when a concrete (= set-representable) quantum
logic with covering properties (generalization of compatibility) has to be a Boolean algebra.
These results complete and generalize some ...

#### 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.

#### 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 ...