Timeline for is the tensor product of projective modules again projective?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 15, 2014 at 7:53 | vote | accept | user49605 | ||
| Apr 15, 2014 at 7:53 | comment | added | user49605 | ok, looks like you are right | |
| Apr 14, 2014 at 23:30 | comment | added | Denis Nardin | There's probably something I'm missing. Aren't all the direct summands $A_1\otimes A_2$-stable? | |
| Apr 14, 2014 at 23:26 | comment | added | user49605 | this is what I came up with too (sorry for not mentioning it), but the problem is, that it is not clear to me that why the given direct sum decomposition is valid as $A_1\otimes A_2$-modules. A priori it is only true as $R$-modules, which isn't enough. | |
| Apr 14, 2014 at 23:17 | history | answered | Denis Nardin | CC BY-SA 3.0 |