Group and Field make some sense to me, but I can't see why the structures that are closed under two binary operations would indicate "ring".
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2How do groups and fields make sense to you? For me, "groups" in everyday speaking means something like a "set", and a "field" is where corn is grown :) – lisyarus Jul 17 '15 at 11:47
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See also this question on MathOverflow. – Pierre-Guy Plamondon Jul 17 '15 at 11:48
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Thx all. The question linked to in the post did not pop up when I was entering my question. – Jul 17 '15 at 11:50