Some Results of Self-Maps in PU-Algebra

Abstract

In this manuscript we examine the concept of left and right self-maps in PU-Algebra and explore some further interesting prperties to PU-Algebra.We prove that R 2 x is idempotent, isotonic and endomorphic. We determine the condition for which the composition of Lα and Rb is equivalent to Ro . We prove that under what condition L n x is an endomorphism. We define the Ker(R 2 x ) and show that it is a subalgebra and ideal of PU-Algebra. We also prove that the Fix(R 2 x ) is a subalgebra and ideal of PU-Algebra.