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Re: [Axiom-developer] fixing SPAD
From: |
Martin Rubey |
Subject: |
Re: [Axiom-developer] fixing SPAD |
Date: |
19 May 2007 19:53:12 +0200 |
User-agent: |
Gnus/5.09 (Gnus v5.9.0) Emacs/21.4 |
Waldek Hebisch <address@hidden> writes:
> > In any case, I thought that Complex R is intended to be the ring of formal
> > linear combinations of 1 and %i, where %i^2 = 1. (That's also roughly what
> > the
> > doc says.) Do you see a different interpretation for the 'Complex'
> > constructor?
> I view Complex as a special purpose constructor: square root of -1
> has distinguished role for subsets of complex numbers.
But I wouldn't consider Complex PF 3 as a subset of the complex numbers, since
the arithmetic is different.
> But in general one wants arbitrary algebraic extensions, and
> SimpleAlgebraicExtension provide them (well, as long as R is commutative),
> without special assumptions hardwired into Complex.
Looking at SAE, I see that it exports Field if its underlying ring is a Field.
I guess we have a problem there, too?
> Note also that you need to be _very_ carefull when you work with rings having
> zero divisors.
I would like to trap zero divisors with the predicate
if R has Field then ...
Martin
- [Axiom-developer] fixing SPAD, Martin Rubey, 2007/05/19
- Re: [Axiom-developer] fixing SPAD, Waldek Hebisch, 2007/05/19
- [Axiom-developer] Re: fixing SPAD, Gabriel Dos Reis, 2007/05/19
- [Axiom-developer] Re: fixing SPAD, Martin Rubey, 2007/05/19
- [Axiom-developer] Re: fixing SPAD, Gabriel Dos Reis, 2007/05/19
- [Axiom-developer] Re: fixing SPAD, Martin Rubey, 2007/05/19
- [Axiom-developer] Re: fixing SPAD, Gabriel Dos Reis, 2007/05/19
- [Axiom-developer] Re: fixing SPAD, Martin Rubey, 2007/05/19
- [Axiom-developer] Re: fixing SPAD, Gabriel Dos Reis, 2007/05/19
- Re: [Axiom-developer] Re: fixing SPAD, Waldek Hebisch, 2007/05/19
- Re: [Axiom-developer] Re: fixing SPAD, Gabriel Dos Reis, 2007/05/19
- Re: [Axiom-developer] Re: fixing SPAD, Waldek Hebisch, 2007/05/19