Research Article

On bi-ideals of ordered Γ- semigroups – A Corrigendum

Volume: 42 Number: 5 May 1, 2013
  • Niovi Kehayopulu
EN

On bi-ideals of ordered Γ- semigroups – A Corrigendum

Abstract

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

References

  1. Hila, K., Pisha, E. On bi-ideals on ordered Γ-semigroups I, Hacet. J. Math. Stat. 40 (6), 793–804, 2011.
  2. Kehayopulu, N. Note on Green’s relations in ordered semigroups, Math. Japon. 36 (2), 211–214, 1991.
  3. 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.
  4. Kehayopulu, N. On ordered Γ-semigroups, Sci. Math. Jpn. 71 (2), 179–185, 2010.
  5. Kehayopulu, N. On regular duo po-Γ-semigroups, Math. Slovaca 61 (6), 871–884, 2011.
  6. 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.
  7. Kehayopulu, N., Tsingelis, M. A characterization of strongly regular ordered semigroups, Math. Japon. 48 (2), 213–215, 1998.
  8. Kehayopulu, N., Tsingelis, M. On left regular ordered semigroups, Southeast Asian Bull. Math. 25 (4), 609–615, 2002.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Niovi Kehayopulu This is me

Publication Date

May 1, 2013

Submission Date

May 11, 2014

Acceptance Date

-

Published in Issue

Year 2013 Volume: 42 Number: 5

APA
Kehayopulu, N. (2013). On bi-ideals of ordered Γ- semigroups – A Corrigendum. Hacettepe Journal of Mathematics and Statistics, 42(5), 559-567. https://izlik.org/JA33KH92FU
AMA
1.Kehayopulu N. On bi-ideals of ordered Γ- semigroups – A Corrigendum. Hacettepe Journal of Mathematics and Statistics. 2013;42(5):559-567. https://izlik.org/JA33KH92FU
Chicago
Kehayopulu, Niovi. 2013. “On Bi-Ideals of Ordered Γ- Semigroups – A Corrigendum”. Hacettepe Journal of Mathematics and Statistics 42 (5): 559-67. https://izlik.org/JA33KH92FU.
EndNote
Kehayopulu N (May 1, 2013) On bi-ideals of ordered Γ- semigroups – A Corrigendum. Hacettepe Journal of Mathematics and Statistics 42 5 559–567.
IEEE
[1]N. Kehayopulu, “On bi-ideals of ordered Γ- semigroups – A Corrigendum”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 5, pp. 559–567, May 2013, [Online]. Available: https://izlik.org/JA33KH92FU
ISNAD
Kehayopulu, Niovi. “On Bi-Ideals of Ordered Γ- Semigroups – A Corrigendum”. Hacettepe Journal of Mathematics and Statistics 42/5 (May 1, 2013): 559-567. https://izlik.org/JA33KH92FU.
JAMA
1.Kehayopulu N. On bi-ideals of ordered Γ- semigroups – A Corrigendum. Hacettepe Journal of Mathematics and Statistics. 2013;42:559–567.
MLA
Kehayopulu, Niovi. “On Bi-Ideals of Ordered Γ- Semigroups – A Corrigendum”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 5, May 2013, pp. 559-67, https://izlik.org/JA33KH92FU.
Vancouver
1.Niovi Kehayopulu. On bi-ideals of ordered Γ- semigroups – A Corrigendum. Hacettepe Journal of Mathematics and Statistics [Internet]. 2013 May 1;42(5):559-67. Available from: https://izlik.org/JA33KH92FU