Abstract
AbstractWe give a presentation for the monoid $$\mathscr{I}\mathscr{O}_n$$
I
O
n
of all order-preserving transformations of an n-chain whose ranges are intervals. We also consider the submonoid $$\mathscr{I}\mathscr{O}_n^-$$
I
O
n
-
of $$\mathscr{I}\mathscr{O}_n$$
I
O
n
consisting of order-decreasing transformations, for which we determine the cardinality, the rank and a presentation.
Funder
Universidade Nova de Lisboa
Publisher
Springer Science and Business Media LLC
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