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On kernel of ordered semigroups -- A corrigendum

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According to the paper in [3], the kernel of an ordered semi-group S is a completely regular subsemigroup of S. In this note we showthat the kernel of an ordered semigroup S is not a completely regularsubsemigroup of S, in general.

Abstract

According to the paper in [3], the kernel of an ordered semi-group S is a completely regular subsemigroup of S. In this note we showthat the kernel of an ordered semigroup S is not a completely regularsubsemigroup of S, in general.

참고문헌 (4)

  1. Y. Cao, "Nil-extensions of simple po-semigroups", Comm. Algebra, 28(5), pp.2477~2496 (2000)
  2. N. Kehayopulu, "On regular, intra-regular ordered semigroups", Pure Math. Appl, 4(4), pp.447~461 (1993)
  3. Qing Shun Zhu, "On nil-extensions of left strongly simple po-semigroups", 대한수학회논문집, 26(3), pp.405~416 (2011), 대한수학회
  4. Q. S. Zhu, "On kernel in ordered semigroups", Journal of Information Engineering University, 9(4), pp.492~494 (2008)

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