H-SETS AND APPLICATIONS ON Hv-GROUPS

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.

کلیدواژه ها:

Hv -group ، left(right)H-set ، tensor product ، regular relation ، strongly regular relation