%0 Journal Article
%T H-SETS AND APPLICATIONS ON Hv-GROUPS
%J Journal of Algebraic Systems
%I Shahrood University of Technology
%Z 2345-5128
%A Ostadhadi-Dehkordi, S.
%A Vougiouklis, T.
%A Hila, K.
%D 2022
%\ 09/01/2022
%V 10
%N 1
%P 79-93
%! H-SETS AND APPLICATIONS ON Hv-GROUPS
%K Hv -group
%K left(right)H-set
%K tensor product
%K regular relation
%K strongly regular relation
%R 10.22044/jas.2021.10501.1518
%X 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.
%U https://jas.shahroodut.ac.ir/article_2323_4d3f22f506b926379c168ef5f31fae86.pdf