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Congruence relation in fuzzy partial hyperalgebras | ||
| Journal of Hyperstructures | ||
| دوره 14، شماره 1، 2025، صفحه 16-24 اصل مقاله (1.6 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16534.1070 | ||
| نویسندگان | ||
| Tahere Nozari* 1؛ Elham Sadat Hoseini2؛ Reza Ameri3؛ Naimeh Onagh2 | ||
| 1Department of mathematics. Faculty of sciences. Golestan university. Gorgan. Iran | ||
| 2Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, Iran | ||
| 3School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Tehran, Iran | ||
| چکیده | ||
| In this paper, we begin by introducing the concept of fuzzy partial hyperalgebra and exploring the relationships between congruence relations and strong congruence relations within this framework. We then construct an embedding of any fuzzy partial hyperalgebra into a fuzzy hyperalgebra, ensuring that all congruence relations on the embedded fuzzy partial hyperalgebra can be simultaneously extended to the corresponding fuzzy hyperalgebra. | ||
| کلیدواژهها | ||
| Compatible relation؛ fuzzy hyperalgebra؛ fuzzy partial hyperalgebra | ||
| مراجع | ||
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