Timeline for Integrally closed factor rings and projective modules
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| May 12, 2021 at 5:27 | comment | added | Badam Baplan | @JoseCapco I have no idea if there are people doing research in this strand of commutative algebra! But I can tell you how I arrived at your question: a long time ago I was interested in understanding how to generalize aspects of multiplicative ideal theory (think Gilmer's innovations in commutative ring theory over a domain) to ugly rings with gross zero divisors and also in understanding how to think about birational geometry over nasty schemes. The lemma about projective and rational maps that I mentioned is, I think, a basic building block in these investigations. | |
| Mar 15, 2021 at 8:26 | vote | accept | Jose Capco | ||
| Mar 15, 2021 at 8:26 | comment | added | Jose Capco | I needed to refresh my memory (this question was posted 10 years ago). On first impression, I agree with what you write and after so many years I will mark this as answered! I would probably prove the Lemma in a different way (by assuming that $b_i$ is not zero and arriving to the contradiction, because the last sentence of the proof had me thinking), but that is a matter of taste. I was wondering if there is any community doing research in this direction nowadays. I switched to algebraic geometry but if there are more research interest in this area, then I would consider looking at it again. | |
| Dec 6, 2020 at 17:41 | history | answered | Badam Baplan | CC BY-SA 4.0 |