Manuscript Title:

A NATURAL DUALITY FOR QUASI-VARIETY GENERATED BY A FIVEELEMENT RESIDUATED LATTICE

Author:

SYED MD OMAR FARUK

DOI Number:

DOI:10.5281/zenodo.14723074

Published : 2025-01-23

About the author(s)

1. SYED MD OMAR FARUK - Associate Professor, Department of Mathematics, Shahjalal University of Science and Technology, Sylhet, Bangladesh.

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Abstract

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.


Keywords

Natural Duality, Piggyback Duality, Residuated Lattice.