Maximal regular subsemigroups of certain semigroups of transformations |
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| Authors: | Taijie You |
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| Institution: | (1) Department of Mathematics Guizhou Normal University Guiyang City 550001, China, CN |
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| Abstract: | Let T
n
and P
n
be the full and partial transformation semigroups on a finite set of order n respectively. The properties of the subsemigroups of T
n
and P
n
have been widely studied. But the maximal regular subsemigroups of T
n
and P
n
seem to be unknown. In this note, we determine all the maximal regular subsemigroups of all ideals of T
n
and P
n
.
April 7, 1999 |
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| Keywords: | |
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