H-SETS AND APPLICATIONS ON Hv-GROUPS

Ostadhadi-Dehkordi, S.; Vougiouklis, T.; Hila, K.

doi:10.22044/jas.2021.10501.1518

	H-SETS AND APPLICATIONS ON Hv-GROUPS
Journal of Algebraic Systems
دوره 10، شماره 1، آذر 2022، صفحه 79-93 اصل مقاله (160.42 K)
نوع مقاله: Original Manuscript
شناسه دیجیتال (DOI): 10.22044/jas.2021.10501.1518
نویسندگان
S. Ostadhadi-Dehkordi^* ¹؛ T. Vougiouklis²؛ K. Hila³
¹Department of Mathematics, University of Hormozgan, P.O. Box 3995, Bandar Abbas, Iran.
²School of Science of Education, Democritus University of Thrace, P.O. Box 68100, Alexandroupolis, Greece.
³Department of Mathematics Engineering, Polytechnic University of Tirana, Tirana, P.O. Box 1001, Albania.
چکیده
In this paper, the notion of H-sets on Hv-groups is introduced and some related properties are investigated and some examples are given. In this regards, the concept of regular, strongly regular relations and homomorphism of H-sets are adopted. Also, the classical isomorphism theorems of groups are generalized to H-sets on Hv-groups. Finally, by using these concepts tensor product on Hv-groups is introduced and proved that the tensor product exists and is unique up to isomorphism.
کلیدواژه‌ها
Hv -group؛ left(right)H-set؛ tensor product؛ regular relation؛ strongly regular relation

مراجع
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H-SETS AND APPLICATIONS ON Hv-GROUPS