A study on some combinatorial sets in partial semigroups

Abstract

In this paper, we investigate the image and preimage of the important combinatorial sets such as central sets, [Formula: see text]-sets, and [Formula: see text]-sets which play an important role in the study of combinatorics under certain partial semigroup homomorphism. Using that we prove certain results that deal with the existence of [Formula: see text]-set which are not central in partial semigroup framework.