논문KCI 등재
Pure Ideals in Ordered Semigroups
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In this paper the concepts of pure ideals, weakly pure ideals and purely prime ideals in ordered semigroups are introduced. We obtain some characterizations of pure ideals and prove that the set of all pure prime ideals is topologized.
Abstract
In this paper the concepts of pure ideals, weakly pure ideals and purely prime ideals in ordered semigroups are introduced. We obtain some characterizations of pure ideals and prove that the set of all pure prime ideals is topologized.
참고문헌 (6)
- J. Ahsan, "Pure spectrum of a monoid with zero", Kobe J. Mathematics, 6, pp.163~182 (1989)
- G. Birkhoff, "Lattice Theory" (1969), Providence
- S. Bashir, "Pure ideals in ternary semigroups", Quasigroups and Related Systems, 17, pp.149~160 (2009)
- N. Kehayopulu, "On weakly prime ideals of ordered semigroups", Mathematica Japonica, 35(6), pp.1051~1056 (1990)
- N. Kehayopulu, "On left regular ordered semigroups,", Southeast Asian Bulletin of Mathematics, 25, pp.609~615 (2002)
- M. Petrich, "Introduction to Semigroups" (1973), Merrill Columbus
관련 논문AI추천
Purities of Ordered Ideals of Ordered SemiringsBundit Pibaljommee, Pakorn Palakawong na Ayutthaya경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제3호On Ordered Ternary SemigroupsVanita Rohit Daddi, Yashashree Shivajirao Pawar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제4호On hybrid quasi-pure hyperideals in ordered hypersemigroupsHataikhan Sanpan, Pongsakorn Kitpratyakul, Somsak Lekkoksung기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2023 · 제25권 제2호Characterizations of ordered intra $k$-regular semirings by ordered $k$-idealsBundit Pibaljommee, Pakorn Palakawong na Ayutthaya대한수학회 · 대한수학회논문집2018 · 제33권 제1호On left Γ-filters of Γ-po-semigroups권영인, 이상근강원경기수학회 · 한국수학논문집2009 · 제17권 제1호Weakly prime left ideals in near-subtraction semigroupsG. Satheesh Kumar, P. Dheena대한수학회 · 대한수학회논문집2008 · 제23권 제3호
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