Lattice structure on bounded homomorphisms between topological lattice\n rings

2018/11/28 by Omid Zabeti, Zabeti, Omid
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1811.11672

openalex publication_date 2018/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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