Abstract
The purpose of this document is to develop some of the basic theory of the multipliers algebra of dual BCK-algebras. In this study we demonstrate the concept of left bi-multiplier and right bi-multiplier of dual BCK (DBCK-algebra) algebras. Several examples and results pertaining to these multipliers on DBCK-algebras are developed based on these definitions. Then we study the characteristics of the bi-multipliers on DBCK-algebras and obtained some properties of DBCK-algebras. We focused on the behavior of the elements of DBCK-algebras under the concept of left bi-multiplier and right bi-multiplier of DBCK-algebras. We also characterize Kera(X) and Fixa(X) by bi-multipliers on DBCK- algebras. We describe some elementary related properties of these sets.
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