ON WEAK EXTENDED ORDER ALGEBRAS WITH ADJOINT PAIRS AND GALOIS PAIRS | ||
| Journal of Algebraic Systems | ||
| دوره 13، شماره 3، بهمن 2025، صفحه 29-43 اصل مقاله (134.61 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.13092.1716 | ||
| نویسنده | ||
| Michiro Kondo* | ||
| Department of Mathematics, School of System Design and Technology Tokyo Denki University Tokyo, Japan | ||
| چکیده | ||
| 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). | ||
| کلیدواژهها | ||
| (weak) extended order algebras؛ adjoint triples؛ adjoint pairs؛ Galois pairs؛ BCK-algebras | ||
| مراجع | ||
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