-supplemented property in the lattices
Let be a lattice with the greatest element . Following the concept of generalized small subfilter, we define -supplemented filters and investigate the basic properties and possible structures of these filters.
Generalizations of Boolean algebras. An attribute exploration
Generalized difference posets and orthoalgebras.
Generalized -lattices of order ω+
Generating semigroups for complete atomistic ortholattices.
Gram-Schmidt's orthogonalization based on the concept of generalized orthogonality
Group-valued measures on coarse-grained quantum logics
In it was shown that a (real) signed measure on a cyclic coarse-grained quantum logic can be extended, as a signed measure, over the entire power algebra. Later () this result was re-proved (and further improved on) and, moreover, the non-negative measures were shown to allow for extensions as non-negative measures. In both cases the proof technique used was the technique of linear algebra. In this paper we further generalize the results cited by extending group-valued measures on cyclic coarse-grained...