Representation of lattice frames
Ivo D\"untsch, Ewa Or{\l}owska
TL;DR
This paper characterizes certain doubly ordered frames that can be embedded into the canonical frame of their Urquhart complex algebra, advancing the understanding of lattice frame representations.
Contribution
It provides a characterization of doubly ordered frames embeddable into the canonical frame of their Urquhart complex algebra, a novel insight in lattice theory.
Findings
Identifies conditions for embeddability into Urquhart complex algebra frames
Advances the theoretical understanding of lattice frame representations
Provides a new characterization criterion for doubly ordered frames
Abstract
The aim of this note is to characterize those doubly ordered frames which are embeddable into the canonical frame of its Urquhart complex algebra.
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Taxonomy
TopicsRings, Modules, and Algebras · Mathematical Analysis and Transform Methods · Advanced Algebra and Logic