<p>^^ Abstract algebra is the generalization of high school algebra to more interesting areas. Notions of identities, inverses, arbitrary operations, primes, etc. are put in a more broader context for groups, rings, fields, etc. It’s incredibly detailed and can’t be explained easily. You could try a simple google search and find out a lot more from websites; there’s more information on the subject than someone could possibly learn in a lifetime, so the “definition” I gave above hardly scratches the surface, which is what makes it so fun.</p>
<p>You will either love abstract algebra or you will hate it. What is does is explains in a more general sense all of the highly dogmatic things that they teach in most classrooms.</p>