Abstract algebra and Programming
I am going to start learning Abstract Algebra- Groups, Rings,etc. I am interested to know any programming language, if at all which can help me learn/try the concepts I learn in theory.
EDIT: I am not really looking at implementing what I learn. I am interested to know any language which already supports them.
Answer
Maybe a slightly different take on your question, but still... The functional language Haskell uses concepts from algebra (particularly category theory) such as monads, monoids, arrows and whatnot.
Using Haskell's typeclasses, you could also make any object into a group, or a ring, for example, simply by defining operations (operators) on them. Guaranteeing that the operations you define actually comply to the group/ring axioms would be your responsibility, however.