Results on Green's Relations of Order Preserving Star-Like Full Transformation Semigroup

Abstract

T α ω n ∗ is the star - like transformation semigroup of the finite set X n . Basic extraction of elements were done using | X n + 1 − λ X n | ≤ | X n − λ X n + 1 | from Full Transformation Semigroup provided n≥1. The five equivalence Green’s relation of star - like semigroup were solved using inline with the general method and definitions were given. The elements of order preserving star-like semigroup in this study were listed from full transformation semigroup, some tables were formed and sequences were created using these tables alongside L ,H, R , J and D equivalence relations. The patterns of the arrangement and tables were examined and also properly generalized .