> Abstract algebra is the set of advanced topics of algebra that deal with abstract algebraic structures rather than the usual number systems. The most importan

> Abstract algebra is the set of advanced topics of algebra that deal with abstract algebraic structures rather than the usual number systems. The most important of these structures are groups, rings, and fields. Groups, rings and fields are abstractions of what we normally call a "number system". I think my statement is correct. That, or we're debating vague terms.