Homework Sourse0n is not a group under standard addition for n 2 What does
{0,...n} is not a group under standard addition for n > 2? What does it fail closure, associativity, identity, or inverse?
{0,...n} is not a group under standard addition for n > 2? What does it fail closure, associativity, identity, or inverse?
Solution
The set along with the operation addition is not a group for n>2. Because, it has no inverse for 2 under addition. That means we can\'t find any number (a\') in the set {0,...,n} such that 2+a\'=a\'+2=0(the identity element).
