ON HOMOMORPHISM OF FREE SEMIGROUP

Abstract

This paper discussed homomorphism of free semigroups. The concept of freeness, 0-free, properties of homomorphic images, criterion for freeness in the area of  characterization, factorization and injectivity criterion, freeness semigroup structure, freeness as a homomorphism problem are showcased. Result reveal that homomorphism of free regular semigroups is regular and 0-free.