Note on the theory of independence in continuous geometries
Notes on lattice congruences
Observables on -MV algebras and -lattice effect algebras
Effect algebras were introduced as abstract models of the set of quantum effects which represent sharp and unsharp properties of physical systems and play a basic role in the foundations of quantum mechanics. In the present paper, observables on lattice ordered -effect algebras and their “smearings” with respect to (weak) Markov kernels are studied. It is shown that the range of any observable is contained in a block, which is a -MV algebra, and every observable is defined by a smearing of a sharp...
Ojective ideals in modular lattices
The concept of an extending ideal in a modular lattice is introduced. A translation of module-theoretical concept of ojectivity (i.e. generalized relative injectivity) in the context of the lattice of ideals of a modular lattice is introduced. In a modular lattice satisfying a certain condition, a characterization is given for direct summands of an extending ideal to be mutually ojective. We define exchangeable decomposition and internal exchange property of an ideal in a modular lattice. It is...
On a certain mapping on the set with orthogonality
On a characterization of probability measures on Boolean algebras and some orthomodular lattices
On a functional representation of the lattice of projections on a Hilbert space
On a local property of the unoriented graph of a modular multilattice
On a paper by Iqbalunnisa
On a problem of Kertesz and Stern
On a problem of M. F. JANOWITZ
On a Question of J. Hashimoto
On AC-lattices in which the ideal of the finite elements is standard
On algebraic lattices and semisimple algebras
On centers and state spaces of logics
On central atoms of Archimedean atomic lattice effect algebras
If element of a lattice effect algebra is central, then the interval is a lattice effect algebra with the new top element and with inherited partial binary operation . It is a known fact that if the set of central elements of is an atomic Boolean algebra and the supremum of all atoms of in equals to the top element of , then is isomorphic to a direct product of irreducible effect algebras ([16]). In [10] Paseka and Riečanová published as open problem whether is a bifull sublattice...
On central relations of complete lattices
On centrally symmetric graphs
In this note we extend results on the covering graphs of modular lattices (Zelinka) and semimodular lattices (Gedeonova, Duffus and Rival) to the covering graph of certain graded lattices.
On certain congruence lattices of finite unary algebras
On Certain Generalized Probability Domains