Weak complete parts in semihypergroups

Author(s):

M. Jafarpour , V. Leoreanu-Fotea , A. Zolfaghari

Message:
Abstract:
In this article we generalize the notion of complete parts, by introducing a weaker condition in definition. Using this generalization we define and analyse a new class of semihypergroups, which are called weak complete semihypergroups. Complete parts were introduced about 40 years ago by M. Koskas and they represent a basic notion of hyperstucture theory, utilized in constructing an important class of subhypergroups of a hypergroup and also they are used to define complete hypergroups.
Keywords:

(semi)Hypergroup , (strongly) Regular relation , Complete parts , part

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:8 Issue: 2, Nov 2013
Pages:
101 to 109
https://www.magiran.com/p1186127