This paper is one in a series that investigates topological measures on locally compact spaces. A measure defined open and closed sets; it finitely additive the collection of sets, inner regular outer sets. We examine semisolid sets give way constructing from solid-set functions compact, Hausdorff, connected, connected For spaces we present two simpler methods than currently available one. exam...

The present work aims to exploit the interplay between algebraic properties of rings and graph-theoretic structures some associated graphs. We introduce commutatively closed graphs investigate subsets a ring with help graph theory. In particular, we compute diameter matrix Artinian semisimple algebras.

let s be a locally compact foundation semigroup with identity and                          be its semigroup algebra. let x be a weak*-closed left translation invariant subspace of    in this paper, we prove that  x  is invariantly  complemented in   if and  only if  the left ideal  of    has a bounded approximate identity. we also prove that a foundation semigroup with identity s is left amenab...

in this paper, we introduce λκ−closed sets and study its properties in generalized topological spaces.