Abstract

ABSTRACT In this paper, we define the notions of ( l , r ) -symmetric bi-derivations and ( r , l ) -symmetric bi-derivations on UP-algebras and investigate some properties of them. For these derivations, we introduce the sets Ke r d ( U ) , Fi x d ( U ) and Fi x D ( U ) . Moreover, we examine with examples whether these sets are UP-subalgebra or UP-ideal.

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