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We have constructed models of how homologous chromosomes come together at meiotic prophase for pairing and recombination. For these models we have calculated how many homology testing events are necessary on average to ensure that each chromosome finds its respective partner. We have identified several conditions that would greatly reduce the effort spent… (More)

Motivated by cryptography, permutations induced by polynomial functions on finite lattices L = (L, ∨, ∧, *) with an antitone involution * are investigated. These permutations together with the operation of composition form a subgroup of the symmetric group on L. We describe the structure of this subgroup for different classes of lattices L and indicate… (More)

- Radomír Halas, Helmut Länger
- Order
- 2010

- Ivan Chajda, Radomír Halas, Helmut Länger
- Discrete Mathematics
- 2008

- Ivan Chajda, Helmut Länger
- 2001

Ring-like operations are introduced in pseudocomplemented semi-lattices in such a way that in the case of Boolean pseudocomplemented semilattices one obtains the corresponding Boolean ring operations. Properties of these ring-like operations are derived and a characterization of Boolean pseudocomplemented semilattices in terms of these operations is given.… (More)

- H. LÄNGER, Milan Kolibiar
- 1999

It is shown that for every integer n > 1 the poset a smallest and a greatest element. The functions in this poset are interpreted as Bell-type inequalities holding in L.

- Ivan Chajda, Helmut Länger
- Multiple-Valued Logic and Soft Computing
- 2017

- Dietmar Dorninger, Helmut Länger
- Discrete Applied Mathematics
- 1983

- Gerhard Dorfer, Dietmar Dorninger, Helmut Länger
- Kybernetika
- 2010

The probability p(s) of the occurrence of an event pertaining to a physical system which is observed in different states s determines a function p from the set S of states of the system to [0, 1]. The function p is called a numerical event or multidimensional probability. When appropriately structured, sets P of numerical events form so-called algebras of… (More)

- Ivan Chajda, Helmut Länger
- 2001

It is shown that in the variety of orthomodular lattices every hy-persubstitution respecting all absorption laws either leaves the lattice operations unchanged or interchanges join and meet. Further, in a variety of lattices with an involutory antiautomorphism a semigroup generated by three involutory hypersubstitutions is described. * This paper is a… (More)