-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.
Generators of existence varieties of regular rings and complemented Arguesian lattices
We proved in an earlier work that any existence variety of regular algebras is generated by its simple unital Artinian members, while any existence variety of Arguesian sectionally complemented lattices is generated by its simple members of finite length. A characterization of the class of simple unital Artinian members [members of finite length, respectively] of such varieties is given in the present paper.
Gleason theorem for signed measures with infinite values
Goldie extending elements in modular lattices
The concept of a Goldie extending module is generalized to a Goldie extending element in a lattice. An element of a lattice with is said to be a Goldie extending element if and only if for every there exists a direct summand of such that is essential in both and . Some properties of such elements are obtained in the context of modular lattices. We give a necessary condition for the direct sum of Goldie extending elements to be Goldie extending. Some characterizations of a decomposition...
Gram-Schmidt's orthogonalization based on the concept of generalized orthogonality
Graph automorphisms and cells of lattices
In this paper we apply the notion of cell of a lattice for dealing with graph automorphisms of lattices (in connection with a problem proposed by G. Birkhoff).
Graph automorphisms of a finite modular lattice
Graph automorphisms of semimodular lattices
This paper deals with the relations between graph automorphisms and direct factors of a semimodular lattice of locally finite length.
Graph isomorphisms of modular multilattices
Graph isomorphisms of semimodular lattices
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...
Gruppen mit geometrischen Abschnitten im Untergruppenverband.
Gruppi finiti debolmente modulari