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STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS
STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)
Davvaz, Bijan (Department of Mathematics, Yazd University)
Omidi, Saber,
&
Davvaz, Bijan.
(2018). STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS. , 25(2), 115-125, https://doi.org/10.7468/jksmeb.2018.25.2.115
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
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