| Line 8: | Line 8: | ||
I hope someone answers this question! I'm a little confused about it myself. -Kristie | I hope someone answers this question! I'm a little confused about it myself. -Kristie | ||
| + | |||
| + | |||
| + | If a group is Abelian, it has the commutative property for all of its elements. So, if a and b are elements of S, and a*b=b*a for all a and b, then S is Abelian. * is the operation of the set such as multiplication or addition. | ||
| + | |||
| + | Example: group of real numbers with addition as the operation: | ||
| + | for all a and b, a+b=b+a, for example, 4+3=7=3+4. | ||
| + | |||
| + | -Ozgur | ||
Latest revision as of 10:32, 19 October 2008
Abelian: a commutative group, is a group satisfying the additional requirement that the product of elements does not depend on their order (the axiom of commutativity).
- from Wikipedia[1]-
Can someone provide me some good and clear example about abelian, just to ensure that I do really understand it. Thanks!~
--Mmohamad 18:37, 5 October 2008 (UTC)
I hope someone answers this question! I'm a little confused about it myself. -Kristie
If a group is Abelian, it has the commutative property for all of its elements. So, if a and b are elements of S, and a*b=b*a for all a and b, then S is Abelian. * is the operation of the set such as multiplication or addition.
Example: group of real numbers with addition as the operation: for all a and b, a+b=b+a, for example, 4+3=7=3+4.
-Ozgur
