Applications of the -relation to Krasner hyperrings

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• 作者：S. Mirvakili ; B. Davvaz ; ^{davvaz@yazduni.ac.ir}
• 关键词：16Y99 ; 20N20
• 刊名：Journal of Algebra
• 出版年：2012
• 出版时间：15 July, 2012
• 年：2012
• 卷：362
• 期：Complete
• 页码：145-156
• 全文大小：187 K

文摘

This paper deals with a special type of hyperrings called Krasner hyperring. The main tool is the studding of the -relation. The -relation was introduced by Davvaz and Vougiouklis. Indeed, we use the -relation in a given Krasner hyperring. In this way, the -relation is the smallest equivalence relation on a Krasner hyperring R such that is a commutative ring. Results are obtained on Krasner hyperrings, derived hyperrings and ¦Á-parts.