Bitopological Duality for Algebras of Fittings logic and Natural Duality extension
This work addresses foundational issues in mathematical logic and duality theory, likely for researchers in algebra and logic, and appears incremental as it builds on existing duality theories.
The paper tackles the problem of establishing a bitopological duality for algebras of Fitting's multi-valued logic and extends natural duality theory from $\mathbb{ISP_I}(\mathcal{L})$ to $\mathbb{ISP}(\mathcal{L})$ for finite algebras with bounded distributive lattices, resulting in new duality frameworks without specific numerical results.
In this paper, we investigate a bitopological duality for algebras of Fitting's multi-valued logic. We also extend the natural duality theory for $\mathbb{ISP_I}(\mathcal{L})$ by developing a duality for $\mathbb{ISP}(\mathcal{L})$, where $\mathcal{L}$ is a finite algebra in which underlying lattice is bounded distributive.