Timeline for Homogeneous ideal and its system of generators
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 18, 2012 at 9:25 | answer | added | user26857 | timeline score: 1 | |
| Oct 8, 2012 at 4:30 | history | edited | Knot | CC BY-SA 3.0 |
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| Oct 8, 2012 at 4:29 | comment | added | Knot | Yep, thank you all very much for pointing it out. I mean the minimal set of generator. | |
| Oct 8, 2012 at 2:06 | answer | added | Youngsu | timeline score: 3 | |
| Oct 6, 2012 at 13:43 | comment | added | Karl Schwede | I looked up Matsumura page 8 so I think I see what you are asking, you should try googling Graded Nakayama's Lemma. Everything you want is true if you assume that $R$ is $\mathbb{N}$-graded with $R_0$ a field. In particular the same argument goes through from the local case (page 9 of Matsumura). | |
| Oct 6, 2012 at 13:02 | comment | added | Karl Schwede | There's definitely more than one choice of generators (since $\langle x,y\rangle = \langle x, y, x+y, x^2, \dots \rangle$. Do you mean a minimal choice of generators? | |
| Oct 6, 2012 at 6:29 | history | edited | Knot | CC BY-SA 3.0 |
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| Oct 6, 2012 at 2:47 | history | asked | Knot | CC BY-SA 3.0 |