Timeline for Is there a name for this condition on a monoid?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 7, 2023 at 18:26 | comment | added | Steven Stadnicki | @SamHopkins Good catch; yes, assume that I want a lattice here too. Thank you! | |
| Jun 6, 2023 at 23:09 | history | edited | RobPratt |
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| Jun 6, 2023 at 18:07 | comment | added | Benjamin Steinberg | A finite lattice satisfies your conditions with either meet or join as the operation but is not affine. | |
| Jun 6, 2023 at 18:06 | comment | added | Benjamin Steinberg | The condition that divisibility is a partial order requires your affine monoid to have no units. | |
| Jun 6, 2023 at 17:54 | comment | added | Sam Hopkins | There is no reason for the divisibility relation in the monoid to give a lattice (even if it is a partial order), so is that one of the conditions you are imposing as well? | |
| Jun 6, 2023 at 17:51 | history | asked | Steven Stadnicki | CC BY-SA 4.0 |