Basic notions and properties of ordered semihyperrings

In this paper, we introduce the concept of semihyperring $(R,+,cdot)$ together with a suitable partial order $le$. Moreover, we introduce and study hyperideals in ordered semihyperrings. Simple ordered semihyperrings are defined and its characterizations are obtained. Finally, we study some properti...

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Bibliographic Details
Main Authors: B. Davvaz, S. Omidi
Format: Article
Language:English
Published: Shahid Beheshti University 2016-02-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:http://www.cgasa.ir/article_11181_a73c9c7bbdb038f75ed62901bc042c2a.pdf