> I may be misunderstanding where you're going with this, but are you > proposing that > > sage: Mod(1,5) == 1 > False # your proposal? -- since ZZ-->GF(5) is not injective >
No, my criterion is that *at least one* of the maps from the two rings to the push-out is injective. Here it is the map from GF(5) to the push-out (also GF(5)) which is injective. On the other hand, Mod(1, 5) in ZZ would be False in my proposal because here it is specifically the map ZZ -> GF(5) that should be injective for the result to be True. This would be inconsistent with what is done in several other math > software packages: > > PARI: > ? Mod(2,5) == 2 > %1 = 1 > > Magma: > > GF(5)!2 eq 2; > true > > > Consistency with the choices of other systems for basic things like > this has some relevance... > I absolutely agree. Peter -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at http://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/groups/opt_out.
