Abstract
Necessary and sufficient conditions are obtained for the archimedean graph of a positive function on an S-indecomposable semigroup to have no irreducible polygons. Miscellaneous facts about positive functions are obtained. Illustrative examples of positive functions on the free content are given.
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Communicated by R. McFadden
Some of the results here were announced in Abstract 711-20-44 of Notices AMS. 21 (1974), A-93.
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Putcha, M.S. The archimedean graph of a positive function on a semigroup. Semigroup Forum 12, 221–232 (1976). https://doi.org/10.1007/BF02195928
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DOI: https://doi.org/10.1007/BF02195928