H-SETS AND APPLICATIONS ON Hv-GROUPS

Author(s):

S. Ostadhadi-Dehkordi * , T. Vougiouklis , K. Hila

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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.

Keywords:

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

Language:
English
Published:
Journal of Algebraic Systems, Volume:10 Issue: 1, Summer-Autumn 2022
Pages:
79 to 93
https://www.magiran.com/p2391874