ON WEAK EXTENDED ORDER ALGEBRAS WITH ADJOINT PAIRS AND GALOIS PAIRS

Document Type : Original Manuscript

Author

Department of Mathematics, School of System Design and Technology Tokyo Denki University Tokyo, Japan

Abstract

In this paper, we consider properties of weak extended order algebras with adjoint pairs and Galois pairs, and prove some new results. Moreover, we clarify the relation between these algebras and BCK-algebras, that is, the class of all normal weak extended order algebras with adjoint pair satisfying the condition $\top \to x=x$ is identical the class of all BCK-algebras with the condition (S).

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References

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Journal of Algebraic Systems
Volume 13, Issue 3
November 2025
Pages 29-43

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