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ISSN : 1226-0657

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Vol.25 No.2
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STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Davvaz, Bijan
Omidi,, S. , & Davvaz,, B. (2018). STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 25(2), 115-125, https://doi.org/10.7468/jksmeb.2018.25.2.115
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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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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