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STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS

Bijan Davvaz|Saber Omidi
한국수학교육학회|2018.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제25권 제2호|pp. 115-125|DOI https://doi.org/10.7468/jksmeb.2018.25.2.115

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참고문헌

키워드

clean elementclean ordered Krasner hyperringpseudoorder.
주제분류수학

초록

In this paper, we introduce the notion of a clean ordered Krasner hy-perring and investigate some properties of it. Now, let (R;+,;≤) be a clean ordered Krasner hyperring. The following is a natural question to ask: Is there a strongly regular relation σ on R for which R/σ is a clean ordered ring? Our motivation to write the present paper is reply to the above question.

Abstract

In this paper, we introduce the notion of a clean ordered Krasner hy-perring and investigate some properties of it. Now, let (R;+,;≤) be a clean ordered Krasner hyperring. The following is a natural question to ask: Is there a strongly regular relation σ on R for which R/σ is a clean ordered ring? Our motivation to write the present paper is reply to the above question.

참고문헌 (21)

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