tag:blogger.com,1999:blog-264226589944705290.post5902519254878920639..comments2023-11-05T03:45:25.001-08:00Comments on God Plays Dice: Subprime?Michael Lugohttp://www.blogger.com/profile/15671307315028242949noreply@blogger.comBlogger3125tag:blogger.com,1999:blog-264226589944705290.post-51186155566101979192007-12-04T10:23:00.000-08:002007-12-04T10:23:00.000-08:00See, there you go thinking "prime" is a property o...See, there you go thinking "prime" is a property of a number. Numbers aren't prime, <I>ideals</I> are prime. So a subprime ideal might be one contained in a prime ideal.<BR/><BR/>But in many cases every ideal is contained in a prime ideal, so it may be more useful to say an ideal is subprime if it's contained in a <I>unique</I> prime ideal. Then we recover .mau,'s suggestion that prime powers generate subprime ideals.John Armstronghttps://www.blogger.com/profile/15177732626660057584noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-84397802751632832512007-12-04T08:30:00.000-08:002007-12-04T08:30:00.000-08:00what if a superprime is a power of a prime? No, ma...what if a superprime is a power of a prime? No, maybe it's better to call it a <I>sub</I>prime so that a superprime becomes a unity..mau.https://www.blogger.com/profile/09641196427325175260noreply@blogger.comtag:blogger.com,1999:blog-264226589944705290.post-44741694269308352732007-12-04T07:22:00.000-08:002007-12-04T07:22:00.000-08:00To me it sounds like a notation: there's x, then t...To me it sounds like a notation: there's x, then there's x prime ($x'$), and then there's x subprime. I guess a subprime mark would look like a "prime", except upside-down.Anonymousnoreply@blogger.com