Exercise · ZW-BINARY-OPERATION-001 · ★☆☆ Basic
A binary operation on G must be a function...
Choose one option.
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- B. G × G → G
Explanation
A binary operation on G is a function G × G → G: it takes a pair of elements of G and returns an element of G.
Review the concept: Binary operation
A binary operation on a set G is a function that takes any two elements of G and returns an element of G.
\[\ast:G\times G\to G\]
More practice problems: binary operation
- ZW-BINARY-OPERATION-002 Which is a binary operation on ℤ?
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- ZW-BINARY-OPERATION-005 What are chosen as inputs of a binary operation?
- ZW-BINARY-OPERATION-006 The closure of an operation on G requires that...
- ZW-BINARY-OPERATION-007 Associativity is written as...
- ZW-BINARY-OPERATION-008 Which rule is a binary operation on ℤ?
- ZW-BINARY-OPERATION-009 Which of these properties is NOT required for an operation to be binary on G?