STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2018, v.25 no.2, pp.115-125

https://doi.org/10.7468/jksmeb.2018.25.2.115

Omidi, Saber (Department of Mathematics, Yazd University)
Davvaz, Bijan (Department of Mathematics, Yazd University)

Omidi, Saber, & Davvaz, Bijan. (2018). STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS. 한국수학교육학회지시리즈B:순수및응용수학, 25(2), 115-125, https://doi.org/10.7468/jksmeb.2018.25.2.115

복사

다운로드 수
조회수

PDF 다운로드

Abstract

In this paper, we introduce the notion of a clean ordered Krasner hyperring and investigate some properties of it. Now, let (R, +, <TEX>${\cdot}$</TEX>, <TEX>${\leq}$</TEX>) be a clean ordered Krasner hyperring. The following is a natural question to ask: Is there a strongly regular relation <TEX>${\sigma}$</TEX> on R for which <TEX>$R/{\sigma}$</TEX> is a clean ordered ring? Our motivation to write the present paper is reply to the above question.

keywords: clean element, clean ordered Krasner hyperring, pseudoorder

바로가기메뉴

논문 상세

Vol.25 No.2

STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS

STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS

Abstract

한국수학교육학회지시리즈B:순수및응용수학