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Adjointness of generalized Sasaki operations in posets
Ivan Chajda, Helmut Länger
The Sasaki projection and its dual were introduced as a mapping from the lattice of closed subspaces of a Hilbert space onto one of its segments. In a previous paper the authors sh…
Quasimodules over bounded lattices
Ivan Chajda, Helmut Länger
We define a quasimodule Q over a bounded lattice L in an analogous way as a module over a semiring is defined. The essential difference is that L need not be distributive. Also for…
Implication in weakly and dually weakly orthomodular lattices
Ivan Chajda, Helmut Länger
Weakly orthomodular and dually weakly orthomodular lattices were introduced by the authors in a recent paper. Similarly as for orthomodular lattices we try to introduce an implicat…
c-ideals in complemented posets
Ivan Chajda, Miroslav Kolařík, Helmut Länger
In their recent paper on posets with a pseudocomplementation denoted by * the first and the third author introduced the concept of a *-ideal. This concept is in fact an extension o…