Title of article :
Ordered Krasner Hyperrings
Author/Authors :
Omidi, Saber Department of Mathematics - Yazd University , Davvaz, Bijan Department of Mathematics - Yazd University
Abstract :
Abstract. In this paper, we introduce the concept of Krasner hyperring
(R;+; ) together with a suitable partial order relation . Also, we con-
sider some Krasner hyperrings and dene a binary relation on them which
become ordered Krasner hyperrings. By using the notion of pseudoorder
on an ordered Krasner hyperring (R;+; ;), we obtain an ordered ring.
Moreover, we give some results on ordered Krasner hyperrings.
Keywords :
Pseudoorder , Strongly regular relation , Ordered Krasner hyper- ring , Ordered ring , Algebraic hyperstructure
Journal title :
Astroparticle Physics
