| Abstract: | To any ordered set with a universally maximal element, a semigroup of its transformations with some natural properties that
defines the ordered set up to an isomorphism is assigned. The system of such transformation semigroups is proved to be the
minimal element in the set of all defining systems of transformation semigroups with respect to the following ordering: one
system precedes another if for each ordered set from the class in question, the semigroup of its transformation belonging
to the first system is contained in the semigroup of its transformation from the second system.
Translated fromMatematicheskie Zametki, Vol. 66, No. 1, pp. 112–119, July, 1999. |
