Interpretation of Skew Ideals with Relators in Join Skew Semilattice

Abstract

Distributive semilattices must be the foundation of algebraic subjects related to nonclassical logic. An ideal topic for reviewing the order structure of algebra is an interesting topic. The natural concept of an ideal perchance deduced out of the concept of order structure on the subject of skew lattices. We present and characterize the skew semilattice and distributive skew semilattice in this paper. It is assumed that a distributive skew semilattice is a necessary and acceptable condition for a distributive semilattice. We have also created an order skew ideal in skew semilattice and given the skew semilattice characterization theorem by defining some new through relators <a, b>.