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Oct 13 at 14:21 history edited Salvo Tringali CC BY-SA 4.0
Fixed another mistake
Oct 13 at 10:00 comment added Salvo Tringali @FabiusWiesner That's the only counterexample of order 3, see mathoverflow.net/a/480570/16537
Oct 13 at 6:57 history edited Salvo Tringali CC BY-SA 4.0
fixed a typo in the def of a left zero sgrp
Oct 13 at 4:46 history edited Salvo Tringali CC BY-SA 4.0
fixed a few more typos/mistakes, added a remark on commutativity, and a cross-reference to another non-answer dealing with the case of order-3 semigroups
Oct 11 at 12:55 history edited Salvo Tringali CC BY-SA 4.0
deleted 50 characters in body
Oct 11 at 12:49 history edited Salvo Tringali CC BY-SA 4.0
many substantial changes and a few more typos mistakes
Oct 11 at 8:59 history edited Salvo Tringali CC BY-SA 4.0
edited body
Oct 11 at 8:53 history edited Salvo Tringali CC BY-SA 4.0
added 52 characters in body
Oct 11 at 8:48 history edited Salvo Tringali CC BY-SA 4.0
added 52 characters in body
Oct 11 at 8:41 history edited Salvo Tringali CC BY-SA 4.0
added the case of nilsemigroups and fixed a couple more of mistakes
Oct 11 at 6:54 history edited Salvo Tringali CC BY-SA 4.0
fixed some other mistakes
Oct 11 at 6:24 comment added Fabius Wiesner For $n=3$ there is the counterexample $\mathbb{Z}/3\mathbb{Z}$.
Oct 11 at 5:16 history edited Salvo Tringali CC BY-SA 4.0
fixed another mistake; Proposition 1 is now only proved for monoids that have at least one cancellative element other than the identity
Oct 11 at 5:11 history edited Salvo Tringali CC BY-SA 4.0
fixed another mistake; Proposition 1 is now only proved for monoids that have at least one cancellative element other than the identity
Oct 11 at 4:54 history edited Salvo Tringali CC BY-SA 4.0
fixed the definition of r_S(a,b)
Oct 11 at 4:32 history edited Salvo Tringali CC BY-SA 4.0
noted that Proposition 1 is especially true for monoids
Oct 11 at 4:21 history edited Salvo Tringali CC BY-SA 4.0
deleted 100 characters in body
Oct 11 at 4:14 history edited Salvo Tringali CC BY-SA 4.0
further simplified the proof
Oct 11 at 3:37 history edited Salvo Tringali CC BY-SA 4.0
deleted 84 characters in body
Oct 11 at 3:27 history edited Salvo Tringali CC BY-SA 4.0
added 183 characters in body
Oct 11 at 3:20 history answered Salvo Tringali CC BY-SA 4.0