Shahrood University of Technology Journal of Algebraic Systems 2345-5128 13 3 2025 11 01 ON WEAK EXTENDED ORDER ALGEBRAS WITH ADJOINT PAIRS AND GALOIS PAIRS 29 43 3118 10.22044/jas.2023.13092.1716 EN Michiro Kondo Department of Mathematics, School of System Design and Technology Tokyo Denki University Tokyo, Japan Journal Article 2023 05 08 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). https://jas.shahroodut.ac.ir/article_3118_6557d42d99ccf33a909fb807e7152ebe.pdf