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Jul 25, 2019 at 4:23 comment added David Roberts @Sammy in Rey Casse's book 'Projective geometry', it is an exercise to show that $(2)/10$ is a field, and is there denoted $\mathcal{RFF}$, for "Rey's Favourite Field".
Jul 25, 2019 at 4:12 history edited Martin Sleziak CC BY-SA 4.0
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Apr 13, 2010 at 6:50 comment added Sammy Black Toy example: 6 is the unit for $(2) \subset Z/_{10}$.
Apr 13, 2010 at 1:36 comment added Tom Church An example of Jonas' point: take functions on a disconnected space, and consider the ideal of functions vanishing on one component.
Apr 13, 2010 at 0:59 comment added Jonas Meyer A small technicality: Proper 2-sided ideals sure can be unital as algebras (or rings) in their own right. They are not unital subalgebras (or subrings), i.e., they can't have the same unit, but that isn't a problem for the question at hand.
Apr 12, 2010 at 19:09 history edited Qiaochu Yuan CC BY-SA 2.5
added 300 characters in body
Apr 12, 2010 at 18:57 history answered Qiaochu Yuan CC BY-SA 2.5