Noncommutative Frames Revisited
Karin Cvetko-Vah, Jens Hemelaer, Jonathan Leech
TL;DR
This paper revisits noncommutative frames, correcting a previous error by emphasizing the importance of join completeness and exploring its relation to skew lattice properties.
Contribution
It corrects a prior mistake in noncommutative frame theory by adding join completeness as a necessary assumption and analyzing its implications.
Findings
Join completeness is essential for noncommutative frames.
Examples illustrate the necessity of join completeness.
Discussion clarifies how join completeness interacts with skew lattice properties.
Abstract
In this note, we correct an error in arXiv:1702.04949 by adding an additional assumption of join completeness. We demonstrate with examples why this assumption is necessary, and discuss how join completeness relates to other properties of a skew lattice.
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