On intrinsic quasimetrics preserving maps on non-abelian partially ordered groups
On isometries in partially ordered groups
On isometries of lattices
On isometries of non-Abelian lattice ordered groups
On isomorphisms of graphs of lattices
On isomorphisms of inner product spaces
On isotone and homomorphic mappings
On isotone and homomorphic maps of ordered partial groupoids
On iterated limits of subsets of a convergence -group
In this paper we deal with the relation for a subset of , where is an -group and is a sequential convergence on .
On joint distributions of observables
On Jónsson's theorem
A proof of Jonsson's theorem inspired by considering a natural topology on algebraic lattices is given.
On JP-semilattices of Begum and Noor
In recent papers, S. N. Begum and A. S. A. Noor have studied join partial semilattices (JP-semilattices) defined as meet semilattices with an additional partial operation (join) satisfying certain axioms. We show why their axiom system is too weak to be a satisfactory basis for the authors' constructions and proofs, and suggest an additional axiom for these algebras. We also briefly compare axioms of JP-semilattices with those of nearlattices, another kind of meet semilattices with a partial join...
On -radical classes of lattice ordered groups
On Kalmbach measurability
In this note we show that, for an arbitrary orthomodular lattice , when is a faithful, finite-valued outer measure on , then the Kalmbach measurable elements of form a Boolean subalgebra of the centre of .
On k-radicals of Green's relations in semirings with a semilattice additive reduct
We introduce the k-radicals of Green's relations in semirings with a semilattice additive reduct, introduce the notion of left k-regular (right k-regular) semirings and characterize these semirings by k-radicals of Green's relations. We also characterize the semirings which are distributive lattices of left k-simple subsemirings by k-radicals of Green's relations.
On lattice ordered groups having a unique addition
On lattice ordered periodic semigroups
On lattice-ordered monoids
In the paper lattice-ordered monoids and specially normal lattice-ordered monoids which are a generalization of dually residuated lattice-ordered semigroups are investigated. Normal lattice-ordered monoids are metricless normal lattice-ordered autometrized algebras. It is proved that in any lattice-ordered monoid A, a ∈ A and na ≥ 0 for some positive integer n imply a ≥ 0. A necessary and sufficient condition is found for a lattice-ordered monoid A, such that the set I of all invertible elements...
On lattices and algebras of simple functions
On lattices determined up to isomorphisms by their graphs