5 Questions
What does an algebraic structure consist of?
A nonempty set, operations, and a finite set of identities
What is the name commonly given to the study of algebraic structures?
Abstract algebra
What is involved in a vector space?
A field and scalar multiplication
What is the formalization that includes other mathematical structures and functions between structures of the same type?
Category theory
What has formalized the general theory of algebraic structures?
Universal algebra
Test your knowledge of algebraic structures with this quiz. Explore the underlying sets, operations, and axioms that define various algebraic structures such as groups, rings, and fields.
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