The associated hyperringoid to a Krasner hyperring. Issue 3 (4th May 2018)

• Record Type: Journal Article
• Authors: Mirabdollahi, H.; Anvariyeh, S. M.; Mirvakili, S.
• Is Part Of: Journal of Taibah University for science. Volume 12:Issue 3(2018)
• Page Start: 348
• Page End: 356
• Publication Date: 2018-05-04
• Subjects: (Partially) ordered Krasner hyperring -- EL2-hyperring -- modified Ends Lemma; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2018.1469859
• Languages: English
• ISSNs: 1658-3655

Abstract

ABSTRACT: "Ends Lemma" is used to construct a hypergroupoid from a (quasi) partially ordered groupoid. But this lemma does not work well for creating a hyperringoid from a (partially) ordered ringoid. In this paper, we plan to gain that by modifying this lemma, called modified "Ends Lemma". Then we construct a EL 2 -hyperring, as a generalization of a "EL-hyperring", by applying on a (partially) ordered Krasner hyperring.