Abstract
In this manuscript we examine the concept of left and right
self-maps in PU-Algebra and explore some further interesting properties 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.
Dawood Khan, Abdul Rehman, Saleem Iqbal, Naveed Sheikh. (2021) Some Results of Self-Maps in PU-Algebra, Punjab University Journal of Mathematics, Volume-53, Issue-3.
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