Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON KERNEL OF ORDERED SEMIGROUPS - A CORRIGENDUM

  • Received : 2012.03.16
  • Published : 2013.04.30
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Abstract

According to the paper in [3], the kernel of an ordered semigroup S is a completely regular subsemigroup of S. In this note we show that the kernel of an ordered semigroup S is not a completely regular subsemigroup of S, in general.

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References

  1. Y. Cao and X. Xinzhai, Nil-extensions of simple po-semigroups, Comm. Algebra 28 (2000), no. 5, 2477-2496. https://doi.org/10.1080/00927870008826971
  2. N. Kehayopulu, On regular, intra-regular ordered semigroups, Pure Math. Appl. (PU.M.A.) 4 (1993), no. 4, 447-461.
  3. Q. S. Zhu, On nil-extensions of left strongly simple po-semigroups, Commun. Korean Math. Soc. 26 (2011), no. 3, 405-416. https://doi.org/10.4134/CKMS.2011.26.3.405
  4. Q. S. Zhu and T. F. Qing, On kernel in ordered semigroups, Journal of Information Engineering University (China) 9 (2008), no. 4, 492-494.

Cited by

  1. ON SIMPLE LEFT, RIGHT AND TWO-SIDED IDEALS OF AN ORDERED SEMIGROUP HAVING A KERNEL vol.51, pp.4, 2014, https://doi.org/10.4134/BKMS.2014.51.4.1217