Volume 12, Issue 2 (9-2017)
IJMSI 2017, 12(2): 35-49 |
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Omidi S, Davvaz B. Ordered Krasner Hyperrings. IJMSI 2017; 12 (2) :35-49
URL: http://ijmsi.ir/article-1-685-en.html
URL: http://ijmsi.ir/article-1-685-en.html
Abstract:
In this paper we introduce the concept of Krasner hyperring $(R,+,cdot)$together with a suitable partial order relation $le $.xle y$. Also we consider some Krasner hyperrings and define a binary relation on them such that to become ordered Krasner hyperrings. By using the notion of pseudoorder on an ordered Krasner hyperring $(R,+,cdot,le)$, we obtain an ordered ring. Moreover, we study some properties of ordered Krasner hyperrings.
Keywords: Algebraic hyperstructure, Ordered ring, Ordered Krasner hyperring, Strongly regular relation, Pseudoorder.
Type of Study: Research paper |
Subject:
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