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STUDY ON CLEAN ORDERED RINGS DERIVED FROM CLEAN ORDERED KRASNER HYPERRINGS
Saber Omidi,Bijan Davvaz 한국수학교육학회 2018 純粹 및 應用數學 Vol.25 No.2
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.
CONSTRUCTION OF ORDERED REGULAR EQUIVALENCE RELATIONS ON ORDERED SEMIHYPERRINGS
Omidi, Saber,Davvaz, Bijan The Honam Mathematical Society 2018 호남수학학술지 Vol.40 No.4
In the present paper, we construct an ordered regular equivalence relation on an ordered semihyperring by 2-hyperideals such that the corresponding quotient structure is also an ordered semihyperring.
CONSTRUCTION OF ORDERED REGULAR EQUIVALENCE RELATIONS ON ORDERED SEMIHYPERRINGS
Saber Omidi,Bijan Davvaz 호남수학회 2018 호남수학학술지 Vol.40 No.4
In the present paper, we construct an ordered regular equivalence relation on an ordered semihyperring by 2-hyperideals such that the corresponding quotient structure is also an ordered semihyperring.