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http://dx.doi.org/10.4134/CKMS.2013.28.2.225

ON KERNEL OF ORDERED SEMIGROUPS - A CORRIGENDUM  

Kehayopulu, Niovi (Department of Mathematics University of Athens)
Tsingelis, Michael (Hellenic Open University School of Science and Technology)
Publication Information
Communications of the Korean Mathematical Society / v.28, no.2, 2013 , pp. 225-229 More about this Journal
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;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Q. S. Zhu and T. F. Qing, On kernel in ordered semigroups, Journal of Information Engineering University (China) 9 (2008), no. 4, 492-494.
2 Y. Cao and X. Xinzhai, Nil-extensions of simple po-semigroups, Comm. Algebra 28 (2000), no. 5, 2477-2496.   DOI   ScienceOn
3 N. Kehayopulu, On regular, intra-regular ordered semigroups, Pure Math. Appl. (PU.M.A.) 4 (1993), no. 4, 447-461.
4 Q. S. Zhu, On nil-extensions of left strongly simple po-semigroups, Commun. Korean Math. Soc. 26 (2011), no. 3, 405-416.   과학기술학회마을   DOI   ScienceOn