Abstract
By an ordered semigroup we mean a semigroup with a simple order which is compatible with the semigroup operation. Several authors, for example Alimov [1], Clifford [2], Conrad [4] and Hion [7], studied the archimedean property in some special kinds of ordered semigroups. For a general ordered semigroup, Fuchs [6] defined the archimedean equivalence as follows: a ~ b if and only if one of the four conditionsholds for some positive integer n.
Publisher
Cambridge University Press (CUP)
Reference10 articles.
1. Ordered semigroups;Hion;Izv.Akad. Nauk SSSR,1957
2. [10] Gabovits E. Ya. , Ordered semigroups (Autoreview of dissertation, Leningrad, 1967) (Russian).
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