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on fundamental properties of hom-groups
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نویسنده
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agboola adesina abdul akeem ,ibrahim muritala ,adeniji aderemi ,adebisi sunday
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منبع
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journal of mahani mathematical research - 2025 - دوره : 14 - شماره : 2 - صفحه:81 -97
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چکیده
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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.
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کلیدواژه
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hom-group ,hom-normal subgroup ,hom-quotient group ,hom-group homomorphism
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آدرس
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federal university of agriculture, department of mathematics, nigeria, auburn university, department of mathematics, usa, federal university of oye, department of mathematical sciences, nigeria, university of lagos, department of mathematics, nigeria
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پست الکترونیکی
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adesinasunday71@gmail.com
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Authors
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