A Study on <i>k</i>-Hyperideals in Ordered Semihyperrings
Zheng Kou,
Mehdi Gheisari,
Saber Omidi
Affiliations
Zheng Kou
Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China
Mehdi Gheisari
Department of Cognitive Computing, Institute of Computer Science and Engineering, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, India
Saber Omidi
Ministry of Education Iran, Department of Education, Tehran 1511943943, Iran
In this study, we propose the concept of left extension of a hyperideal by generalizing the concept of k-hyperideals in ordered semihyperrings with symmetrical hyper-operation ⊕. By using the notion of extension of a k-hyperideal, we prove some results in ordered semihyperrings. The results of this paper can be viewed as a generalization for k-ideals of semirings.
