Regarding ticket http://sagetrac.org/sage_trac/ticket/3045
can someone explain to me what the "gens" and "ngens" methods are supposed to mean? There seems to be a lot of inconsistency. For example: sage: ZZ.gens() (1,) These are the additive generators. Ditto here: sage: GF(7).gens() (1,) Okay, what about this: sage: GF(49, "a").gens() (a,) That's not an additive generator. That's a generator as an algebra over the base ring (GF(7) in this case). Similarly: sage: ZZ["x", "y"].gens() (x, y) So is this rule that (1) If R has a base ring distinct from R, then R.gens() returns the generators over the base ring, where "generator" is interpreted according to what category we're working in, and (2) If the base ring of R is just R, then R.gens() returns the additive generators? That's a bit weird. I hate to think what happens if we implement, e.g. the ring of continuous functions on the interval [0, 1]. I suppose then "gens" needs to return some kind of uncountable generator object perhaps.... (excuse the pun)? david --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
