1. SYED MD OMAR FARUK - Associate Professor, Department of Mathematics, Shahjalal University of Science and Technology, Sylhet,
Bangladesh.
This research article explores the development of a natural duality for the quasi-variety generated by a specific five-element residuated lattice. Residuated lattices are algebraic structures that serve as the foundation for substructural logics, including relevance and linear logic. The establishment of natural dualities allows for a deeper understanding of these quasi-varieties by enabling representation via dual structures. In this paper we obtain the natural duality of the quasi-variety generated by a five-element residuated lattice.
Natural Duality, Piggyback Duality, Residuated Lattice.