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Hello! Does anybody know an image of a graph featuring the hierarchy of algebraic structures? Something rather complete.

So far I've found similar images describing the hierarchies of classes/categories in various programming languages. For example

Haskell's basic algebra library
Coq's math classes
So far the largest Axiom's abbreviated and full name graph of its categories (incomplete?)
category hierarchy of Sage

edited May 14 2012 at 8:02

asked Aug 14 2011 at 12:25

Yrogirg
163●5

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"Something rather complete" sounds like too tall an order. There must be thousands of algebraic structures that mathematicians are interested in. – Todd Trimble Aug 14 2011 at 13:28

Mark Kim · Answer 1 · 2011-08-14 14:24:47Z UTC

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Page 2 of "Is 'the theory of everything' merely the ultimate ensemble theory?" by Max Tegmark contains the following image:

Relationships between various basic mathematical structures

answered Aug 14 2011 at 14:24

Mark Kim
528●4●12

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What on earth are double fields and triple fields??? Also, why does the dodecahedron group belong to that chart? ...strange choices. – André Henriques Aug 15 2011 at 14:29

+1 to André's comment. However much I respect physics and physicists, I personally think the article in question is a truly bizarre choice of a reference when it comes to dealing with algebraic structures. – Vladimir Dotsenko May 14 2012 at 8:41

An image of the hierarchy of algebraic structures

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