Lattice structure on bounded homomorphisms between topological lattice rings

Abstract

Suppose $X$ is a locally solid lattice ring. It is known that there are three classes of bounded group homomorphisms on $X$ whose topological structures make them again topological rings. In this note, we consider lattice structure on them; more precisely, we show that, under some mild assumptions, they are locally solid lattice rings.

arXiv comment8 pages. To appear in Vladikavkaz mathematical journal. arXiv admin note: text overlap with arXiv:1811.04296