closure propery
posted by luckybee on .
Is this set closed under multiplication
{1, 0, 1}

Closed under multiplication means that any member of the set times any other member of the set (including itself) yields another member of the set.
We have the combinations,
1 * 0 = 0
1 * 1 = 1
1*1 = 1
0*0 = 0
0*1 = 0
1*1 = 1
All results are from the set, so it indeed is closed.