TITLE: Graphically Organizing the Interrelationships of Basic Algebraic Structures
QUESTION [10 upvotes]: I have never taken a formal course in Abstract Algebra (yet), but I am interested in learning more about the subject, as I know it is extremely important in Modern Mathematics and a powerful tool beyond (like in, say, Physics).
However, in my limited exposure to the subject, I have found the taxonomy of the various Algebraic Structures very difficult to follow. For example, in basic Group Theory, there are groups, but also semigroups, monoids, semilattices, quasigroups, loops, and Abelian groups. I have no difficulty in understanding the definitions of each, but understanding (or maybe more accurately, remembering) the interrelationships between them is confusing and difficult. I suppose this is largely because many of the names of these structures (like many names in math, unfortunately) are very non-descriptive.
I have seen some authors create a flowchart-like graphic to help illustrate these relationships (e.g. a monoid is a semigroup with identity, or equivalently a group without inverses, etc.), and while helpful, they are always rather limited in scope and always deal with a linear progression of the structure hierarchy and do not include structures that "branch out" so to speak from the main hierarchy (e.g. quasigroups and semilattices which are special cases of magmas and semigroups respectively, but have no direct inclusive relationship to, say, monoids)
So my question is: Are there any robust graphics illustrating the interrelationships between the various algebraic structures?
Personally, I'm mainly interested in such graphics for Groups and Rings (especially Rings), but I leave this question open to answers for more advanced structures too (like modules).

REPLY [3 votes]: When I started with Ring Theory, I saw a graphic in some script (which I don't remember yet) that helped me preparing for my exam on a course titled "Introduction to Algebra" which was basically Group and Ring Theory. I extended this graphic by adding some more properties (concerning $R[X]$). I have this graphic still hand-written so I converted it (the program I used - DrawExpress - could sadly not manage Latex-Expressions). Maybe it helps you to structure the interrelationships between the properties of rings.