Applications of the α*-relation to Krasner hyperrings

JOURNAL OF ALGEBRA

卷:362

Article

Mirvakili, S.¹  Davvaz, B.¹ 

[1] Yazd Univ, Dept Math, Yazd, Iran

关键词: Krasner hyperring;    Hyperideal;    Strong homomorphism;    Fundamental relation;   

DOI  :  10.1016/j.jalgebra.2012.04.011

来源: Elsevier

【 摘 要 】

This paper deals with a special type of hyperrings called Krasner hyperring. The main tool is the studding of the alpha*-relation. The alpha*-relation was introduced by Davvaz and Vougiouklis. Indeed, we use the alpha*-relation in a given Krasner hyperring. In this way, the alpha*-relation is the smallest equivalence relation on a Krasner hyperring R such that R/alpha* is a commutative ring. Results are obtained on Krasner hyperrings, derived hyperrings and alpha-parts. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free