Year: 2025
Type: article
Abstract: In the late ‘90s, Banaschewski and Vermeulen showed that any localic group is complete in its two-sided uniformity. In this paper, we provide a method of constructing extensions of localic groups. The raison d’être of this paper, however, is to show using generators and relations that if the left and the right uniformity coincide, then the localic group must be complete.
Source: Algebra Universalis
Authors: Simo S. Mthethwa, Onesipho Ntombela
Institution: University of KwaZulu-Natal
Language: English
Topic: Advanced Algebra and Logic
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W4411448559