Work

Characterizations of U-frames and frames that are finitely a U-frame

Year: 2025

Type: article

Abstract: In this article, we give algebraic characterizations of U-frames in terms of ring-theoretic properties of the ring $$\mathcal {R}L$$ R L of real-valued continuous functions on a completely regular frame L. We show that a frame is a U-frame if and only if it is an F-frame and its Čech–Stone compactification is zero-dimensional. We will also introduce frames that are finitely a U-frame and we will characterize them in terms of ring-theoretic properties in $$\mathcal {R}L$$ R L .

Source: Algebra Universalis

DOI: 10.1007/s00012-025-00888-6

Author: Batsile Tlharesakgosi

Institution: University of South Africa

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: University of South Africa