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Complete left ideals in ternary semigroups
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In this paper we introduce the notions of complete leftideals in ternarysemigroups. We also define direct product and left unit of a ternarysemigroups. And obtain some results from these ideals. We obtain the relation between the complete leftideals and set of all (0, 1) regular elements of a ternarysemigroups.
Abstract
In this paper we introduce the notions of complete leftideals in ternarysemigroups. We also define direct product and left unit of a ternarysemigroups. And obtain some results from these ideals. We obtain the relation between the complete leftideals and set of all (0, 1) regular elements of a ternarysemigroups.
참고문헌 (8)
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- Fabrici.I, "On complete ideals in semigroups", Matematicky casopis., 18(1), pp.34~39 (1968)
- Kar.S, "On ideals in ternary semigroups", Int.Jour.Math.Gen.Sci., 18, pp.3015~3023 (2005)
- Petrich.M, "Prime ideals of the cartesian product of two semigroups", Czechoslovak mathematical journal, 12(1), pp.150~152 (1962)
- Sarala.y, "Ideals in ternary semigroups", International e-journal of mathematics and engineering., 203, pp.1950~1968 (2013)
- Shabir.M, "Prime ideals in ternary semigroups", Asian-European journal of mathematics, 2, pp.139~152 (2009)
- Sioson.F.M, "Ideal theory in ternary semigroups", Math.Japan, 10, pp.63~84 (1965)
관련 논문AI추천
On Ordered Ternary SemigroupsVanita Rohit Daddi, Yashashree Shivajirao Pawar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제4호On Generalised Quasi-ideals in Ordered Ternary SemigroupsAbul Basar, Mohammad Yahya Abbasi, Sabahat Ali Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제4호LEFT FILTERS AND PRIME IDEALS ON TERNARYSEMIGROUPSJAYA LALITHA. G, MADHUSUDHANA RAO. D, SARALA. Y, SRINIVASA KUMAR. B장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제2호Generalized ideal elements in le-Γ-semigroupsEdmond Pisha, Kostaq Hila대한수학회 · 대한수학회논문집2011 · 제26권 제3호On weakly completely quasi primary and completely quasi primary ideals in ternary semiringsPairote Yiarayong대한수학회 · 대한수학회논문집2016 · 제31권 제4호Left Regular and Left Weakly Regular n-ary SemigroupsBundit Pibaljommee, Patchara Pornsurat경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2022 · 제62권 제1호
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