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Questions and Answers
What does an algebraic structure consist of?
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?
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?
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?
What is the formalization that includes other mathematical structures and functions between structures of the same type?
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What has formalized the general theory of algebraic structures?
What has formalized the general theory of algebraic structures?
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