On the structure of numerical event spaces

Gerhard Dorfer; Dietmar W. Dorninger; Helmut Länger

Displaying similar documents to “On the structure of numerical event spaces”

On interval homogeneous orthomodular lattices

Anna de Simone, Mirko Navara, Pavel Pták (2001)

Commentationes Mathematicae Universitatis Carolinae

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An orthomodular lattice $L$ is said to be interval homogeneous (resp. centrally interval homogeneous) if it is $σ$ -complete and satisfies the following property: Whenever $L$ is isomorphic to an interval, $[a, b]$ , in $L$ then $L$ is isomorphic to each interval $[c, d]$ with $c \leq a$ and $d \geq b$ (resp. the same condition as above only under the assumption that all elements $a$ , $b$ , $c$ , $d$ are central in $L$ ). Let us denote by Inthom (resp. Inthom $_{c}$ ) the class of all interval homogeneous orthomodular lattices (resp. centrally interval...

On interval homogeneous orthomodular lattices

Anna de Simone, Mirko Navara, Pavel Pták (2001)

Commentationes Mathematicae Universitatis Carolinae

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Orthomodular lattices that are horizontal sums of Boolean algebras

Ivan Chajda, Helmut Länger (2020)

Commentationes Mathematicae Universitatis Carolinae

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The paper deals with orthomodular lattices which are so-called horizontal sums of Boolean algebras. It is elementary that every such orthomodular lattice is simple and its blocks are just these Boolean algebras. Hence, the commutativity relation plays a key role and enables us to classify these orthomodular lattices. Moreover, this relation is closely related to the binary commutator which is a term function. Using the class $ℋ$ of horizontal sums of Boolean algebras, we establish an identity...

Ring-like structures derived from $λ$ -lattices with antitone involutions

Ivan Chajda (2007)

Mathematica Bohemica

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Using the concept of the $λ$ -lattice introduced recently by V. Snášel we define $λ$ -lattices with antitone involutions. For them we establish a correspondence to ring-like structures similarly as it was done for ortholattices and pseudorings, for Boolean algebras and Boolean rings or for lattices with an antitone involution and the so-called Boolean quasirings.

Displaying similar documents to “On the structure of numerical event spaces”

On interval homogeneous orthomodular lattices

On interval homogeneous orthomodular lattices

Orthomodular lattices that are horizontal sums of Boolean algebras

Ring-like structures derived from λ -lattices with antitone involutions

Ring-like structures derived from $λ$ -lattices with antitone involutions