1 citations · 2 across the 5 of their papers we have counts for
13 papers
On ring-like structures of lattice-ordered numerical events
Dietmar Dorninger, Helmut Länger
Let S be a set of states of a physical system. The probabilities p(s) of the occurrence of an event when the system is in different states s of S define a function from S to [0,1]…
Kleene posets and pseudo-Kleene posets
Ivan Chajda, Helmut Länger
The concept of a Kleene algebra (sometimes also called Kleene lattice) was already generalized by the first author for non-distributive lattices under the name pseudo-Kleene algebr…
Sublattices and -blocks of orthomodular posets
Ivan Chajda, Helmut Länger
For orthoposets we introduce a binary relation Delta and a binary operator d(x,y) which are generalizations of the binary relation C and the commutator c(x,y), respectively, known…
Orthogonality and complementation in the lattice of subspaces of a finite-dimensional vector space over a finite field
Ivan Chajda, Helmut Länger
We investigate the lattice L(V) of subspaces of an m-dimensional vector space V over a finite field GF(q) with q being the n-th power of a prime p. It is well-known that this latti…
Varieties corresponding to classes of complemented posets
Ivan Chajda, Miroslav Kolařík, Helmut Länger
As algebraic semantics of the logic of quantum mechanics there are usually used orthomodular posets, i.e. bounded posets with a complementation which is an antitone involution and…
Properties of the connective implication in effect algebras
Ivan Chajda, Helmut Länger
Effect algebras form a formal algebraic description of the structure of the so-called effects in a Hilbert space which serves as an event-state space for effects in quantum mechani…