Abstract

The notion of left-right (resp. right-left) symmetric biderivation of KU-algebras is introduced and some related properties are investigated.

Highlights

  • BCK and BCI algebras are two important classes of algebras of logic introduced by Imai and Iseki and have been deeply studied by many researchers in [6, 7, 8]

  • 3 The Symmetric Bi-Derivations on KU-algebras The following definition introduces the notion of symmetric bi-derivation for Ku-algebras

  • Proposition 3.5 Let X be a KU-algebra and d be the trace of symmetric bi-derivation D on X

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Summary

Introduction

BCK and BCI algebras are two important classes of algebras of logic introduced by Imai and Iseki and have been deeply studied by many researchers in [6, 7, 8]. Right-left) symmetric bi-derivation of KU-algebras is introduced and some of its properties are investigated. Definition 2.4 [1, 2] A nonempty subset A of a KU-algebra X is called ideal of X if it satisfies the following conditions: (i) 0 A

Results
Conclusion

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