Why does Sage allow inequalities in Z/nZ?
sage: Z3 = Integers(3)
sage: a = Z3(4)
sage: b = Z3(2)
sage: a < b
True
sage: a < 3
False
While < may make sense in the set {0, 1, 2, ..., n-1}, it doesn't make
sense in the ring Z/nZ:
sage: Z3(1) < Z3(2)
True
sage: 1+Z3(1) < 1+Z3(2)
False
sage: 2*Z3(1) < 2*Z3(2)
False
Is this current inequality checking actually useful for anything? Should it
be removed?
--
John
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