Abstract Algebra (AQA A-Level Further Maths): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What property must a function satisfy to be a binary operation on a set?
What property must a function satisfy to be a binary operation on a set?
Closure
Is a binary operation on ?
Is a binary operation on ?
No, is not in
What does it mean for a binary operation to be commutative?
What does it mean for a binary operation to be commutative?
for all and
Is the operation commutative on ?
Is the operation commutative on ?
No,
What does it mean for operation to be associative?
What does it mean for operation to be associative?
for all
What is the identity element for on ?
What is the identity element for on ?
For on with identity , which element is self-inverse?
For on with identity , which element is self-inverse?
In a Cayley table, how do you find ?
In a Cayley table, how do you find ?
Row starting with , column headed by
How do you identify the identity element in a Cayley table?
How do you identify the identity element in a Cayley table?
Column identical to leftmost column
What does symmetry along the leading diagonal of a Cayley table indicate?
What does symmetry along the leading diagonal of a Cayley table indicate?
The operation is commutative
