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Ordered maps and kernels of OBCI-algebras | ||
| Journal of Algebra and Related Topics | ||
| دوره 13، شماره 1، مهر 2025، صفحه 135-157 اصل مقاله (215.16 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.24864.1546 | ||
| نویسندگان | ||
| E. Yang* 1؛ E. H. Roh2؛ Y. B. Jun3 | ||
| 1Department of Philosophy, Institute of Critical Thinking and Writing, Jeonbuk National University, Jeonju, Korea | ||
| 2Department of Mathematics Education, Chinju National University of Education, Jinju, Korea | ||
| 3Department of Mathematics Education, Gyeongsang National University, Jinju, Korea | ||
| چکیده | ||
| Yang-Roh-Jun recently introduced the notion of ordered BCI-algebras as a generalization of BCI-algebras. They further introduced the notions of homomorphisms of ordered BCI-algebras and studied associated properties. Here we generalize homomorphisms into ordered maps, i.e., order-preserving maps. More precisely, the notions of ordered maps and kernels of ordered BCI-algebras are first defined. Next, properties related to (ordered) subalgebras, (ordered) filters and direct products of ordered BCI-algebras are addressed. | ||
| کلیدواژه‌ها | ||
| ((ordered) BCI-algebra؛ Ordered map؛ Kernel؛ (ordered) Subalgebra؛ (ordered) Filter | ||
| مراجع | ||
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