Abstract
The author introduces a class of sufficient monoids which are monoids isomorphic to certain special submonoids of monoids of isotone selfmaps of partially ordered sets with a greatest or least element. In contradistinction to the class of monoids isomorphic to monoids of all isotone maps, is an axiomatizable class. It follows from the isomorphism [elementary equivalence] of sufficient monoids of partially ordered sets and that is isomorphic [elementarily equivalent] to either or . Elementarily equivalent partially ordered sets possess elementarily equivalent sufficient monoids.Figures: 2. Bibliography: 21 titles.
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