Group theory is a branch of mathematics that studies algebraic structures known as groups. It deals with sets of elements and a binary operation that combines any two elements to form a third element within the set, subject to specific rules. Key Characteristics / Core Concepts Closure: Combining any two elements within the group always … Read more
Abstract algebra is the study of algebraic structures, which are sets equipped with operations that satisfy certain axioms. It moves beyond the concrete numbers and variables of elementary algebra to explore more general concepts and relationships. Key Characteristics / Core Concepts Groups: Sets with a single binary operation satisfying closure, associativity, identity, and inverse properties. … Read more