A binary operation oplus is defines on the set ... - JAMB Mathematics 1994 Question
A binary operation \(\oplus\) is defines on the set of all positive integers by a \(\oplus\) b = ab for all positive integers a, b. Which of the following properties does NOT hold?
A
closure
B
identity
C
positive
D
inverse
correct option: d
a (\oplus) b = ab
The set of all national rules Q, is closed under the operations, additions, subtraction, multiplication and division. Since a (\oplus) b = ab; b (\oplus) a = ba = ab
The number 1 is the identity element under multiplication
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