1 citations · 1 across the 4 of their papers we have counts for
4 papers
Lattices and semilattices derived from commutative rings of characteristic 2 satisfying the identity
Ivan Chajda, Miroslav Kolařík, Helmut Länger
We prove that a commutative ring of characteristic satisfying the identity together with the binary relation on defined by…
Operators Max L and Min U and duals of Boolean posets
Ivan Chajda, Miroslav Kolařík, Helmut Länger
When working with posets which are not necessarily lattices, one has a lack of lattice operations which causes problems in algebraic constructions. This is the reason why we use th…
Orthomodular and generalized orthomodular posets
Ivan Chajda, Miroslav Kolařík, Helmut Länger
We prove that the 18-element non-lattice orthomodular poset depicted in the paper is the smallest one and unique up to isomorphism. Since not every Boolean poset is orthomodular, w…
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…