IJPAM: Volume 78, No. 4 (2012)
ON REGULAR DUO
-
-SEMIGROUPS


Qing-Shun Zhu
Department of Applied Mathematics and Physics
Institute of Sciences
Information Engineering University
Zhengzhou, 450001, P.R. CHINA
Department of Applied Mathematics and Physics
Institute of Sciences
Information Engineering University
Zhengzhou, 450001, P.R. CHINA
Abstract. In this paper, we give some characterizations of regular duo -
-semigroups. We show that
-
-semigroup
is regular duo if and only if
is the semilattice of
-simple ordered sub-
-semigroups of
which are analogous to the characterizations of bi-ideals of
-semigroups considered by Zhu, see [1].
Received: May 28, 2011
AMS Subject Classification: -
-semigroup, regular duo, bi-ideal,
-simple, semilattice congruence
Key Words and Phrases: 03G25, 06F35
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 4