On the large proper sublattices of finite lattices.
On the lattice automorphisms of certain simple algebraic groups
On the lattice automorphisms of and
On the lattice group valued submeasures
On the lattice of additive hereditary properties of finite graphs
In this paper it is proved that the lattice of additive hereditary properties of finite graphs is completely distributive and that it does not satisfy the Jordan-Dedekind condition for infinite chains.
On the lattice of convex subsets of a partial monounary algebra
On the lattice of convexly compatible topologies on a partially ordered set
On the lattice of left annihilators of certain rings
On the lattice of n-filters of an LM n-algebra
For an n-valued Łukasiewicz-Moisil algebra L (or LM n-algebra for short) we denote by F n(L) the lattice of all n-filters of L. The goal of this paper is to study the lattice F n(L) and to give new characterizations for the meet-irreducible and completely meet-irreducible elements on F n(L).
On the lattice of pronormal subgroups of dicyclic, alternating and symmetric groups
In this paper, the structures of collection of pronormal subgroups of dicyclic, symmetric and alternating groups are studied in respect of formation of lattices and sublattices of . It is proved that the collections of all pronormal subgroups of and S do not form sublattices of respective and , whereas the collection of all pronormal subgroups of a dicyclic group is a sublattice of . Furthermore, it is shown that and ) are lower semimodular lattices.
On the lattice of semisimple classes of linearly ordered groups
On the lattice of subalgebras of a Boolean algebra
On the lattice of torsion classes of lattice ordered groups
On the Lattice Structure of σ-Finite Measures
On the lattice theory of function semi-norms.
On the lattices of kernels of isotonic mappings. II
On the Lebesgue decomposition of a function relative to a -ideal of an orthomodular lattice
On the Lebesgue decomposition of Gleason measures
On the Lebesgue decomposition of the normal states of a JBW-algebra
In this article, a theorem is proved asserting that any linear functional defined on a JBW-algebra admits a Lebesque decomposition with respect to any normal state defined on the algebra. Then we show that the positivity (and the unicity) of this decomposition is insured for the trace states defined on the algebra. In fact, this property can be used to give a new characterization of the trace states amoungst all the normal states.
On the linear orderability of two classes of finite semigroups.