4 papers · 2 filters
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…
The operator of relative complementation
Ivan Chajda, Helmut Länger
By the operator of relative complementation is meant a mapping assigning to every element x of an interval [a,b] of a lattice L the set x^{ab} of all relative complements of x in […
Algebras and varieties where Sasaki operations form an adjoint pair
Ivan Chajda, Helmut Länger
The so-called Sasaki projection was introduced by U. Sasaki on the lattice L(H) of closed linear subspaces of a Hilbert space H as a projection of L(H) onto a certain sublattice of…