Abstract Algebra explores the structures and concepts that underlie algebraic systems, including groups, rings, and fields.
Abstract Algebra can feel abstract (pun intended!), but the more examples you work through, the clearer the patterns become. Try solving problems from textbooks, make up your own, or explain examples to friends.
Seeing how abstract definitions play out in concrete cases is the best way to deepen your understanding.
Solve problems about symmetry groups of shapes.
Factor polynomials in different rings.