# Elementary Set Question

• Sep 11th 2008, 02:48 AM
fifthrapiers
Elementary Set Question
Is the set {0, 1, 2} closed under multiplication?
• Sep 11th 2008, 02:59 AM
Moo
Hello,
Quote:

Originally Posted by fifthrapiers
Is the set {0, 1, 2} closed under multiplication?

$\text{Is } 0 \times 0 \text{ an element of the set ?}$
$\text{Is } 0 \times 1 \text{ an element of the set ?}$
$\text{Is } 0 \times 2 \text{ an element of the set ?}$
$\text{Is } 1 \times 1 \text{ an element of the set ?}$
$\text{Is } 1 \times 2 \text{ an element of the set ?}$
$\text{Is } 2 \times 2 \text{ an element of the set ?}$
• Sep 11th 2008, 03:05 AM
fifthrapiers
Ok the answer is no then, since 2*2 is not.
• Sep 11th 2008, 03:05 AM
Moo
Quote:

Originally Posted by fifthrapiers
Ok the answer is no then, since 2*2 is not.

Correct :)