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Timeline for Prime ideals in coordinate rings

Current License: CC BY-SA 3.0

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Jan 4, 2012 at 22:40 answer added Ralph timeline score: 3
Jan 4, 2012 at 16:42 comment added Mahdi Majidi-Zolbanin If you know your ring is a UFD, then your question reduces to checking if the generator of your principal ideal is irreducible. Also note that in a UFD every prime ideal of height 1 is principal.
Jan 4, 2012 at 15:24 comment added Karl Schwede Or rather, in that book you can find some discussion of history and references.
Jan 4, 2012 at 15:04 comment added Karl Schwede There are certainly tests for whether ideals are prime. You can find some on page 209 of Ideals, Varieties and Algorithms by Cox, Little and O'Shea. It's certainly implemented in various computer algebra systems (such as Macaulay2).
Jan 4, 2012 at 14:41 history asked user20358 CC BY-SA 3.0