Timeline for flat maps of monoids which are not localizations
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| Feb 21, 2012 at 20:41 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Feb 21, 2012 at 19:35 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Feb 21, 2012 at 16:09 | answer | added | Benjamin Steinberg | timeline score: 2 | |
| Feb 21, 2012 at 14:57 | comment | added | Benjamin Steinberg | Can you not do something silly like take a localization and then add an identity to each of the monoids? | |
| Feb 21, 2012 at 9:50 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Feb 21, 2012 at 9:38 | comment | added | Ricardo Andrade | @Tom: I made a mistake. I hope I got it right now. | |
| Feb 21, 2012 at 9:32 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Feb 21, 2012 at 9:24 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Feb 21, 2012 at 5:46 | comment | added | Tom Goodwillie | Either you did not write what you mean, or I am misunderstanding your notation. If $M$ is a proper submonoid of $N$ then $\mathbb Z[M]$ is a proper submodule of $\mathbb Z[N]$ and the quotient module is $0$. | |
| Feb 21, 2012 at 4:17 | comment | added | Ricardo Andrade | @BS: Thanks. I added a generation condition for the map $M\to N$. | |
| Feb 21, 2012 at 4:15 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
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| Feb 21, 2012 at 3:53 | comment | added | Benjamin Steinberg | Let M be the trivial monoid and N be $\{0,1\}$ with multiplication. Then $\mathbb ZN\cong \mathbb Z\times \mathbb Z$ is free as a $\mathbb Z$-module. Actually $N$ can be any commutative monoid with trivial group of units. This is of course too trivial so you should clarify what you want | |
| Feb 21, 2012 at 3:00 | comment | added | Todd Trimble | We're assuming the monoids are commutative? | |
| Feb 21, 2012 at 2:34 | history | asked | Ricardo Andrade | CC BY-SA 3.0 |