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Re: [Axiom-developer] Curiosities with Axiom mathematical structures
From: |
Gabriel Dos Reis |
Subject: |
Re: [Axiom-developer] Curiosities with Axiom mathematical structures |
Date: |
02 Mar 2006 20:42:13 +0100 |
"Bill Page" <address@hidden> writes:
| 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.
Thanks; I'll send it to friends with whom we are looking at "concepts".
That will save me from having to scan that page of the book.
-- Gaby
- Re: [Axiom-developer] Curiosities with Axiom mathematical structures, (continued)
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, 2006/03/04
- Re: [Axiom-developer] Curiosities with Axiom mathematical structures,
Gabriel Dos Reis <=
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