H-SETS AND APPLICATIONS ON Hv-GROUPS
Publish place: Journal of Algebraic Systems، Vol: 10، Issue: 1
Publish Year: 1401
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JAS-10-1_005
تاریخ نمایه سازی: 18 بهمن 1400
Abstract:
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 andproved that the tensor product exists and is unique up to isomorphism.
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Authors
S. Ostadhadi-Dehkordi
Department of Mathematics, University of Hormozgan, P.O. Box ۳۹۹۵, Bandar Abbas, Iran.
T. Vougiouklis
School of Science of Education, Democritus University of Thrace, P.O. Box ۶۸۱۰۰, Alexandroupolis, Greece.
K. Hila
Department of Mathematics Engineering, Polytechnic University of Tirana, Tirana, P.O. Box ۱۰۰۱, Albania.