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RE: [Axiom-developer] Curiosities with Axiom mathematical structures
From: |
Bill Page |
Subject: |
RE: [Axiom-developer] Curiosities with Axiom mathematical structures |
Date: |
Mon, 27 Feb 2006 19:45:33 -0500 |
On February 26, 2006 12:31 AM Gabriel Dos Reis wrote:
> ...
> In the impressive diagram titled "Basic Agebra Hierarchy" displayed
> in the Axiom Book (I only have a copy of the edition copyrighted 1992,
> NAG), AbelianSemiGroup is not "derived" from SemiGroup, and similarly
> AbelianMonoid is not "derived" from Monoid. I find that curious as it
> goes counter the mathematical fact that an AbelianMonoid *is* a
> Monoid, with an additional algebraic law (commutation).
>
The following is a prettier (I think) rendition of these diagrams
done using GraphViz. It also contains a couple of corrections:
http://wiki.axiom-developer.org/book--main--1/Endpaper3
When viewed as pdf and in some dvi viewers this diagram includes
live hyperlinks to the appropriate source files.
Regards,
Bill Page.
- RE: [Axiom-developer] Curiosities with Axiom mathematical structures, (continued)
- RE: [Axiom-developer] Curiosities with Axiom mathematical structures, Bill Page, 2006/03/08
- Re: [Axiom-developer] Curiosities with Axiom mathematical structures, William Sit, 2006/03/09
- Re: [Axiom-developer] Curiosities with Axiom mathematical structures, Gabriel Dos Reis, 2006/03/13
- Re: [Axiom-developer] Curiosities with Axiom mathematical structures, Gabriel Dos Reis, 2006/03/13
- Re: [Axiom-developer] Curiosities with Axiom mathematical structures, William Sit, 2006/03/14
- Re: [Axiom-developer] Curiosities with Axiom mathematical structures, Martin Rubey, 2006/03/02
- Re: [Axiom-developer] Curiosities with Axiom mathematical structures, Gabriel Dos Reis, 2006/03/02
- Re: [Axiom-developer] Curiosities with Axiom mathematical structures, Martin Rubey, 2006/03/04
- RE: [Axiom-developer] Curiosities with Axiom mathematical structures,
Bill Page <=
- RE: [Axiom-developer] Curiosities with Axiom mathematical structures, Page, Bill, 2006/03/13
- Re: [Axiom-developer] Curiosities with Axiom mathematical structures, William Sit, 2006/03/13
- RE: [Axiom-developer] Curiosities with Axiom mathematical structures, Page, Bill, 2006/03/13
- RE: [Axiom-developer] Curiosities with Axiom mathematical structures, Page, Bill, 2006/03/13
- RE: [Axiom-developer] Curiosities with Axiom mathematical structures, Page, Bill, 2006/03/14
- RE: [Axiom-developer] Curiosities with Axiom mathematical structures, Page, Bill, 2006/03/14