# Order relations

• Jan 13th 2010, 12:19 PM
rebecca
Order relations
A, B are order relations.
I need help in proving that if A, B are linear ordered sets, then AxB is also a linear ordered set
and if A, B are well ordered sets, then AxB is also a well ordered set.

Thanks!
• Jan 13th 2010, 12:54 PM
Drexel28
Quote:

Originally Posted by rebecca
A, B are order relations.
I need help in proving that if A, B are linear ordered sets, then AxB is also a linear ordered set
and if A, B are well ordered sets, then AxB is also a well ordered set.

Thanks!

What order do you think should be defined on $A\times B$?
• Jan 13th 2010, 03:00 PM
Plato
Here is a hint: Lexicographic Ordering