IJPAM: Volume 87, No. 1 (2013)
REGULARITY IN SEMIGROUPS OF TRANSFORMATIONS
WITH INVARIANT SETS
WITH INVARIANT SETS
Wanida Choomanee1, Preeyanuch Honyam2, Jintana Sanwong3
1,2,3Department of Mathematics
Faculty of Science
Chiang Mai University
Chiangmai, 50200, THAILAND
1,2,3Department of Mathematics
Faculty of Science
Chiang Mai University
Chiangmai, 50200, THAILAND
Abstract. Let be the semigroup of all transformations on a set
. For a fixed nonempty subset
of
, let

Then







Received: June 4, 2013
AMS Subject Classification: 20M20
Key Words and Phrases: transformation semigroups, left regular element, right regular element, intra-regular element
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DOI: 10.12732/ijpam.v87i1.9 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 87
Issue: 1