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I am an engineer whose familiarity with algebraic structures is mostly confined to vector spaces. I am trying to encapsulate algebraic structures in general in some pictorial representation like a Venn diagram as has been done for mathematical spaces at Wikipedia.

Unfortunately, most abstract algebra texts are symbol-rich and diagram-poor as might be expected :-)

Can someone please nudge me in the right direction toward a source that provides the depiction I am after. I am sure someone must have thought of this before.


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You can find some diagrams in the Wikipedia article Outline of algebraic structures. –  Henry Nov 8 '11 at 15:19
@Henry: Thanks. That helps somewhat. What I am looking for though is something with a coarser granularity capable of giving an overall view. –  chandra Nov 8 '11 at 15:25
Something close to what I was looking for is given in Figure 34 on page 208 of Introduction to Topology and Modern Analysis by George F Simmons, reprint edition published by Robert E Krieger, 1983. –  chandra Nov 14 '11 at 12:45
@chandra, does that work for you? –  scaaahu Jun 4 '12 at 12:20
@scaaahu: Yes, it is along the lines of what I was looking for, but more detailed and extensive than I had envisaged. Thank you. –  chandra Jun 5 '12 at 15:38
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