I tried doing it this way:If , then define by .
Show that is irreducible iff is irreducible.
Suppose is irreducible.
Then where is a unit (ie. ).
WLOG, take .
Therefore
From here i'm not really sure where to go. Can anyone help?
I tried doing it this way:If , then define by .
Show that is irreducible iff is irreducible.
Suppose is irreducible.
Then where is a unit (ie. ).
WLOG, take .
Therefore
From here i'm not really sure where to go. Can anyone help?