H-SETS AND APPLICATIONS ON Hv-GROUPS

Document Type : Original Manuscript

Authors

1 Department of Mathematics, University of Hormozgan, P.O. Box 3995, Bandar Abbas, Iran.

2 School of Science of Education, Democritus University of Thrace, P.O. Box 68100, Alexandroupolis, Greece.

3 Department of Mathematics Engineering, Polytechnic University of Tirana, Tirana, P.O. Box 1001, Albania.

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 and
proved that the tensor product exists and is unique up to isomorphism.

Keywords

References

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Journal of Algebraic Systems
Volume 10, Issue 1
September 2022
Pages 79-93

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