Title of article :
Basic notions and properties of ordered semihyperrings
Author/Authors :
Davvaz، Bijan نويسنده Department of
Mathematics,Yazd University,Yazd,Iran , , Omidi، Saber نويسنده Department of
Mathematics,Yazd University,Yazd,Iran ,
Issue Information :
سالنامه با شماره پیاپی سال 2016
Abstract :
In this paper, we introduce the concept of semihyperring (R,+,.) together with a suitable partial order ≤. Moreover, we introduce and study hyperideals in ordered semihyperrings. Simple ordered semihyperrings are defined and its characterizations are obtained. Finally, we study some properties of quasisimple and B-simple ordered semihyperrings.
Keywords :
ordered semihyperring , hyperideal , SIMPLE , , B-simple
Journal title :
Categories and General Algebraic Structures with Applications
Journal title :
Categories and General Algebraic Structures with Applications
