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On fundamental properties of hom-groups | ||
| Journal of Mahani Mathematical Research | ||
| دوره 14، شماره 2 - شماره پیاپی 32، مرداد 2025، صفحه 81-97 اصل مقاله (470.57 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.24063.1697 | ||
| نویسندگان | ||
| Adesina Abdul Akeem Agboola* 1؛ Muritala Abiodun Ibrahim2؛ Aderemi Olanrewaju Adeniji3؛ Sunday Adesina Adebisi4 | ||
| 1Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria | ||
| 2Department of Mathematics, Auburn University, Auburn, AL 36849, USA | ||
| 3Department of Mathematical Sciences, Federal University of Oye, Oye-Ekiti, Nigeria | ||
| 4Department of Mathematics, University of Lagos, Akoka, Yaba, Lagos, Nigeria | ||
| چکیده | ||
| This paper focuses on the study of Hom-groups. A Hom-group $(G,\ast,\alpha)$ is the non-associative generalization of the classical group $G$ whose associativity and unitality are twisted by a compatible bijective map $\alpha$. We present more properties of Hom-groups, Hom-subgroups, Hom-normal subgroups, Hom-quotient groups and Hom-group homomorphisms with examples. We prove the Zassenhaus Butterfly Lemma of Hom-groups as a major result of this paper. | ||
| کلیدواژه‌ها | ||
| Hom-group؛ Hom-normal subgroup؛ Hom-quotient group؛ Hom-group homomorphism | ||
| مراجع | ||
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