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Study of Properties of Several Kinds of Hyperideals in Ordered Ternary Semihypergroups
- Source :
- Journal of the Indonesian Mathematical Society. :228-239
- Publication Year :
- 2021
- Publisher :
- Indonesian Mathematical Society, 2021.
-
Abstract
- A non-empty subset S together with an associative function f from S × S×S into the family of all non-empty subsets of S is called a ternary semihypergroup. In this paper, we consider a semihypergroup (S, f) besides a binary relation ≤, where ≤ is a partial order relation on S such that satisfies the monotone condition. This structure is called an ordered ternary semihypergroup. We introduce and investigate the notions of bi-hyperideal and quasi-hyperideal in ordered ternary semihyperroups. In particular, we prove that an ordered ternary semihypergroup is left and right simple if and only if it does not contain proper bi-hyperideals
Details
- ISSN :
- 24600245 and 20868952
- Database :
- OpenAIRE
- Journal :
- Journal of the Indonesian Mathematical Society
- Accession number :
- edsair.doi...........a5e42aeeef0145a5876f77b61e190593