A partial converse to a theorem of Tamari |
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Authors: | John Donnelly |
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Institution: | 1. Department of Mathematics, University of Southern Indiana, 8600 University Boulevard, Evansville, IN, 47712, USA
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Abstract: | Let M be a cancellative monoid such that the monoid ring ℤM has no zero divisors. We show that if the monoid consisting of all elements of ℤM with strictly positive coefficients has nonzero common right multiples, then M is left amenable. |
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