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Salvo Tringali's user avatar
Salvo Tringali's user avatar
Salvo Tringali
  • Member for 13 years, 5 months
  • Last seen this week
  • Shijiazhuang, Hebei, China
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revised
Conjecture about commutative semigroups
I had repeated the same tablet twice and messed up with items 10 and 11
comment
Conjecture about commutative semigroups
@FabiusWiesner That's the only counterexample of order 3, see mathoverflow.net/a/480570/16537
comment
Conjecture about commutative semigroups
I'm trying to show that the OP's conjecture is true iff it is true for any non-unital commutative sgrp of order $\ge 4$. Does any of your claims imply that we can get rid of the identity in a monoid without non-trivial units?
revised
Conjecture about commutative semigroups
further mistakes fixed
revised
Conjecture about commutative semigroups
fixed a typo in the def of a left zero sgrp
revised
Conjecture about commutative semigroups
fixed a couple of typos
revised
Conjecture about commutative semigroups
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
answered
Conjecture about commutative semigroups
awarded
 Explainer
revised
Conjecture about commutative semigroups
deleted 50 characters in body
revised
Conjecture about commutative semigroups
many substantial changes and a few more typos mistakes
revised
Conjecture about commutative semigroups
edited body
revised
Conjecture about commutative semigroups
added 52 characters in body
revised
Conjecture about commutative semigroups
added 52 characters in body
revised
Conjecture about commutative semigroups
added the case of nilsemigroups and fixed a couple more of mistakes
revised
Conjecture about commutative semigroups
fixed some other mistakes
revised
Conjecture about commutative semigroups
fixed another mistake; Proposition 1 is now only proved for monoids that have at least one cancellative element other than the identity
revised
Conjecture about commutative semigroups
fixed another mistake; Proposition 1 is now only proved for monoids that have at least one cancellative element other than the identity
revised
Conjecture about commutative semigroups
fixed the definition of r_S(a,b)
revised
Conjecture about commutative semigroups
noted that Proposition 1 is especially true for monoids
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