Timeline for algebras of infinite injective dimension
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Oct 14, 2013 at 8:41 | comment | added | user91132 | $k[x,y]/(x^2,xy,y^2)$. See also en.wikipedia.org/wiki/Gorenstein_ring. | |
| Oct 14, 2013 at 8:33 | history | edited | jason_zhou | CC BY-SA 3.0 |
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| Oct 14, 2013 at 8:28 | comment | added | jason_zhou | Any commutative connected graded noetherian algebra is a quotient of polynomial algebra in finite indeterminants, and so it has a balanced dualizing complex. However do you have any explicite such examples? Thank you very much! | |
| Oct 14, 2013 at 7:04 | comment | added | Pablo Zadunaisky | All commutative connected graded noetherian algebras of finite Krull dimension have balanced dualizing complexes, by van den Bergh's criterion [they always have property $\chi$ and Grothendieck's theorem implies their local dimension is equal to their Krull dimension]. Pick any one that doesn't have finite injective dimension. | |
| Oct 14, 2013 at 6:47 | history | asked | jason_zhou | CC BY-SA 3.0 |