I decided to make my own algebraic structures infographic
I saw a post on this subreddit (I made this infographic on all the algebraic structures and how they relate to eachother) and thought "I can do that too", so I did it too.
My infographic is made using p5js, here is the link to my sketch for the infographic.
Some notes:
I have decided to separate the algebraic structures depending on whether are a single magma (e.g. groups) or double magma (e.g. rings) or have a double domain. Homomorphisms are also mentioned as, although they aren't algebraic structures, they are still important to algebra.
To avoid making the infographic too long, I have not included all algebraic structures (only 15). The infographic mostly has structures related to rings and does not have any topology-related, infinitary or ordering structures (such as complete Boolean algebras or Banach algebras).
The full signature of the structures is in the top-right of each block. The abbreviated signature is in the description of each block. I have abbreviated the signature with the rule that the full signature can be recovered (e.g. the neutral element and inverses are uniquely determined from the group operation in a group).
Goodbye.
Posted Feb 20, 2026, 4:31 PM UTC