Contribution to study special kinds of hyperideals in ordered semihyperrings. Issue 6 (1st November 2017)

• Record Type: Journal Article
• Authors: Omidi, S.; Davvaz, B.
• Is Part Of: Journal of Taibah University for science. Volume 11:Issue 6(2017)
• Page Start: 1083
• Page End: 1094
• Publication Date: 2017-11-01
• Subjects: 16Y99; Ordered semihyperring -- Hyperideal -- k-Hyperideal -- (m, n)-Hyperideal -- Prime (m, n)-bi-hyperideal; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1016/j.jtusci.2016.09.001
• Languages: English
• ISSNs: 1658-3655

Abstract

Abstract: In the present paper, we introduce the notion of k -hyperideals on ordered semihyperrings. Then, we investigate some fundamental properties of k -hyperideals of ordered semihyperrings. Indeed, we define ( m, n )-hyperideals and ( m, n )-bi-hyperideals in ordered semihyperrings and investigate some of their related properties. Moreover, we introduce and analyze the notion of prime ( m, n )-bi-hyperideal of an ordered semihyperring.