논문KCI 등재
Purities of Ordered Ideals of Ordered Semirings
경북대학교 자연과학대학 수학과|2020.09|Kyungpook Mathematical Journal|제60권 제3호|pp. 455-465|DOI 10.5666/KMJ.2020.60.3.455
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초록
We introduce the concepts of the left purity, right purity, quasi-purity, bipurity, left weak purity and right weak purity of ordered ideals of ordered semirings and use them to characterize regular ordered semirings, left weakly regular ordered semirings, right weakly regular ordered semirings and fully idempotent ordered semirings.
Abstract
We introduce the concepts of the left purity, right purity, quasi-purity, bipurity, left weak purity and right weak purity of ordered ideals of ordered semirings and use them to characterize regular ordered semirings, left weakly regular ordered semirings, right weakly regular ordered semirings and fully idempotent ordered semirings.
참고문헌 (10)
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- A. P. Gan, "On ordered ideals in ordered semirings", J. Math. Res. Exposition, 31(6), pp.989~996 (2011)
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- P. Palakawong na Ayuthaya, "Characterizations of regular ordered semirings by ordered quasi-ideals", Int. J. Math. Math. Sci., pp.8~ (2016)
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- P. Senarat, "Prime ordered k-bi-ideals in ordered semirings", Quasigroups Related Systems, 25(1), pp.121~132 (2017)
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관련 논문AI추천
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