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ON KERNEL OF ORDERED SEMIGROUPS - A CORRIGENDUM
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 Title & Authors
ON KERNEL OF ORDERED SEMIGROUPS - A CORRIGENDUM
Kehayopulu, Niovi; Tsingelis, Michael;
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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.
 Keywords
kernel;simple;left (right) regular;regular;completely regular ordered semigroup;left (right) ideal;ideal;
 Language
English
 Cited by
1.
ON SIMPLE LEFT, RIGHT AND TWO-SIDED IDEALS OF AN ORDERED SEMIGROUP HAVING A KERNEL,;

대한수학회보, 2014. vol.51. 4, pp.1217-1227 crossref(new window)
1.
ON SIMPLE LEFT, RIGHT AND TWO-SIDED IDEALS OF AN ORDERED SEMIGROUP HAVING A KERNEL, Bulletin of the Korean Mathematical Society, 2014, 51, 4, 1217  crossref(new windwow)
 References
1.
Y. Cao and X. Xinzhai, Nil-extensions of simple po-semigroups, Comm. Algebra 28 (2000), no. 5, 2477-2496. crossref(new window)

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. crossref(new window)

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.