Boolean Boogie
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From: William Elliot on 12 Aug 2010 03:56 >>> In conclusion. If I is an ideal of a Boolean ring B, then >>> I is prime ideal iff I is maximal ideal > > Right. > >> I is maximal ideal among ideals excluding a >> iff I is proper prime ideal iff I is maximal ideal. > > Those iff's should be forward implications. If I ideal Boolean ring B, a not in I, then I is maximal ideal among ideals excluding a iff I is prime ideal iff I is maximal ideal. > quasi >
From: quasi on 12 Aug 2010 07:48
On Thu, 12 Aug 2010 00:56:29 -0700, William Elliot <marsh(a)rdrop.remove.com> wrote: >>>> In conclusion. If I is an ideal of a Boolean ring B, then >>>> I is prime ideal iff I is maximal ideal >> >> Right. >> >>> I is maximal ideal among ideals excluding a >>> iff I is proper prime ideal iff I is maximal ideal. >> >> Those iff's should be forward implications. > >If I ideal Boolean ring B, a not in I, then > >I is maximal ideal among ideals excluding a >iff I is prime ideal iff I is maximal ideal. That's better. quasi |