A Note on Maximal and Minimal Elements in Semigroups of Partial Transformation Preserving Order and Contraction -
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Abstract
For a positive integer n, let [n]={1, 2, 3, ..., n} and COPn denote the semigroup of all partial transformations that preserve order and a contraction. In this paper, we give a characterization of maximal and minimal elements of COPn with respect to its natural partial order.
For a positive integer , let
, consider the semigroup
consisting of all partial transformations
from
to
such that
preserves both a natural partial order
( if
then
) and contraction
. In this paper, we give a characterization of maximal and minimal elements of
with respect to its natural partial order.
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References
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