On 2011-12-11 21:44, Marco Streng wrote: > 2011/12/11 William Stein <wst...@gmail.com>: >> sage: parent(gcd(Mod(5,7), 7)) >> Integer Ring >> >> which... sucks! I consider this a bug. We should definitely have >> that the gcd is in parent(Mod(5,7)). > > This bug seems to be as old as http://trac.sagemath.org/sage_trac/ticket/4443 > > If "a" in "gcd(a,b)" has no attribute "gcd", then both are coerced to > ZZ before taking a gcd. It can't be that simple, otherwise gcd(Mod(5,7), 7) would be the integer 1, not 5.
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