Algebraic Structures Quiz
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Questions and Answers

What does an algebraic structure consist of?

  • A collection of operations and a finite set of identities
  • A nonempty set and a finite set of identities
  • A nonempty set and a collection of operations
  • A nonempty set, operations, and a finite set of identities (correct)

    • What is the name commonly given to the study of algebraic structures?

  • Universal algebra
  • Homomorphisms
  • Category theory
  • Abstract algebra (correct)

    • What is involved in a vector space?

  • A field and vector addition
  • A group and scalar addition
  • A ring and vector addition
  • A field and scalar multiplication (correct)

    • What is the formalization that includes other mathematical structures and functions between structures of the same type?

    <p>Category theory</p> Signup and view all the answers

    What has formalized the general theory of algebraic structures?

    <p>Universal algebra</p> Signup and view all the answers

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