Lattice structure on bounded homomorphisms between topological lattice rings
Functional Analysis
2019-09-09 v2
Abstract
Suppose is a locally solid lattice ring. It is known that there are three classes of bounded group homomorphisms on 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.
Cite
@article{arxiv.1811.11672,
title = {Lattice structure on bounded homomorphisms between topological lattice rings},
author = {Omid Zabeti},
journal= {arXiv preprint arXiv:1811.11672},
year = {2019}
}
Comments
8 pages. To appear in Vladikavkaz mathematical journal. arXiv admin note: text overlap with arXiv:1811.04296