H-SETS AND APPLICATIONS ON Hv-GROUPS
نویسندگان
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.
doi
10.22044/jas.2021.10501.1518چکیده
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.
