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Mar 24, 2023 at 18:14 vote accept Nate Ackerman
Mar 24, 2023 at 17:44 answer added Benjamin Steinberg timeline score: 4
Mar 24, 2023 at 17:44 history became hot network question
Mar 24, 2023 at 17:05 comment added Benjamin Steinberg @Ycor, as yes I forgot 0. Sorry
Mar 24, 2023 at 14:34 answer added R. van Dobben de Bruyn timeline score: 9
Mar 24, 2023 at 13:36 comment added YCor @BenjaminSteinberg the group of "units" is then the group of eventually zero sentences.
Mar 24, 2023 at 12:33 comment added Benjamin Steinberg @YCor doesnt the eventually nonnegative sequences have trivial group of units and hence what the OP wants is true because the congruence is trivial?
Mar 24, 2023 at 10:58 comment added Benjamin Steinberg This shouldn't be true. I don't think much about cancellative commutative monoids but I don't see why they should have a submonoid transversal to Green's H-relation.
Mar 24, 2023 at 8:49 comment added YCor If $G$ is not a direct factor in the group envelope of $M$ this is probably not the case. For instance take $M$ the additive monoid of sequences $\mathbf{N}\to\mathbf{Z}$ that are eventually non-negative.
Mar 24, 2023 at 8:32 history asked Nate Ackerman CC BY-SA 4.0