November 14th, 2007, 07:14 AM  #1 
Newbie Joined: Sep 2007 Posts: 9 Thanks: 0  ring
Take the ring R=Z/4Z. Find a polynomial of degree 1 in R[X] such that its square is the constant 1.

November 14th, 2007, 11:50 AM  #2 
Newbie Joined: Sep 2007 From: Nice, France Posts: 13 Thanks: 0 
easy! use the "4=0" force 
November 27th, 2007, 01:42 PM  #3 
Newbie Joined: Nov 2007 Posts: 7 Thanks: 0 
How do you do that?

December 7th, 2007, 08:47 AM  #4 
Newbie Joined: Dec 2007 From: Paris Posts: 3 Thanks: 0 
What is the square of 1 + 2*a in R ?


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