Class hierarchy diagram for abstract algebra?

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Can anyone direct me to a diagram of abstract algebraic structures (monoids, groups, ..) arranged like an object-oriented class hierarchy? I am used to thinking about subtype relationships that way from programming.

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For a start, you might try one of these:

en.wikipedia.org/wiki/Outline_of_algebraic_structures

math.chapman.edu/~jipsen/structures/doku.php/varieties

Note that the second one is limited to a certain subset of structures called "varieties", and therefore omits some commonly studied algebraic structures, like fields.