25 citations · 39 across the 40 of their papers we have counts for
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Residuation in twist products and pseudo-Kleene posets Abstract
Ivan Chajda, Helmut Länger
M. Busaniche, R. Cignoli, C. Tsinakis and A. M. Wille showed that every residuated lattice induces a residuation on its full twist product. For their construction they used also la…
Algebraic properties of paraorthomodular posets
Ivan Chajda, Davide Fazio, Helmut Länger +2
Paraorthomodular posets are bounded partially ordered set with an antitone involution induced by quantum structures arising from the logico-algebraic approach to quantum mechanics.…
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…