On bi-ideals of ordered Γ- semigroups – A Corrigendum
This is a Corrigendum of the paper in [1]. We keep the numbering given in [1] and we add our remarks and corrections. We give, among others, the correct definition of a strongly regular po-Γ-semigroup, and we correct the proof of 2.19 Lemma given in [1]. As one can see below, each of the papers in the References of the present paper contains its corresponding result in [1] and only such papers are cited in the References of this corrigendum and nothing more.
Keywords:
On bi-ideals, semigroups Corrigendum,
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- Hila, K., Pisha, E. On bi-ideals on ordered Γ-semigroups I, Hacet. J. Math. Stat. 40 (6), 793–804, 2011.
- Kehayopulu, N. Note on Green’s relations in ordered semigroups, Math. Japon. 36 (2), 211–214, 1991.
- Kehayopulu, N. On completely regular poe-semigroups, Math. Japon. 37 (1), 123–130, 1992. Kehayopulu, N. On completely regular ordered semigroups, Sci. Math. 1 (1), 27–32, 1998. Kehayopulu, N. On prime, weakly prime ideals in po-Γ-semigroups, Lobachevskii J. Math. 30 (4), 257–262, 2009.
- Kehayopulu, N. On ordered Γ-semigroups, Sci. Math. Jpn. 71 (2), 179–185, 2010.
- Kehayopulu, N. On regular duo po-Γ-semigroups, Math. Slovaca 61 (6), 871–884, 2011.
- Kehayopulu, N., Ponizovskii, J. S., Tsingelis, M. Note on bi-ideals in ordered semigroups and in ordered groups, Zap. Nauchn. Sem. S.-Petersburg. Otdel. Mat. Inst. Steklov. (POMI) 265 (1999), Vopr. Teor. Predst. Algebr i Grupp. 6, 198–201, 327 (2000); translation in J. Math. Sci. (New York) 112, no. 4 (2002), 4353–4354.
- Kehayopulu, N., Tsingelis, M. A characterization of strongly regular ordered semigroups, Math. Japon. 48 (2), 213–215, 1998.
- Kehayopulu, N., Tsingelis, M. On left regular ordered semigroups, Southeast Asian Bull. Math. 25 (4), 609–615, 2002.
- Kehayopulu, N., Tsingelis, M. Fuzzy bi-ideals in ordered semigroups, Inform. Sci. 171 (1–3), 13–28, 2005.
- Sen, M. K., Saha, N. K. On Γ-semigroup I, Bull. Calcutta Math. Soc. 78, 180–186, 1986. Sen, M. K., Seth, A. On po-Γ-semigroups, Bull. Calcutta Math. Soc. 85 (5), 445–450, 1993. Zhu, Qingshun On characterizations of completely regular ordered semigroups, Southeast Asian Bull. Math. 29 (4), 827–834, 2005.
- Yayın Aralığı: Yılda 6 Sayı
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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