Abstract

In this paper we deal with the decomposition of some classes of ordered semigroups into archimedean components. In particular, we prove that in ordered semigroups the concepts of semilattices of archimedean semigroups and of complete semilattices of archimedean semigroups are the same. In addition, we discuss similarities and differences between semigroups (without order) and ordered semigroups.

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