November 11th, 2016, 06:35 AM  #1 
Newbie Joined: Nov 2016 From: Europe Posts: 3 Thanks: 0  Fields
I'm learning about fields and I still dont get how to prove things in fields, for example 1. F∈a. and I need to prove that if a^2 = 1 , then a = 1 or a= 1 2. if a^2 =a , then a =0 or a = 1 This what I did : 1. a^2 =1 > a^2 1 = 0 > a^2 1 *1=0 (1 is neutral axiom)> a^2 1^2 > (a+1)(a1) = 0 > a=1 or a=1 . 2. a^2  a = 0 > a*(a1) = 0 > a=0 or a= 1. is that good or should I use more fields axioms ? 
November 22nd, 2016, 05:56 PM  #2  
Math Team Joined: Jan 2015 From: Alabama Posts: 2,279 Thanks: 570  Quote:
Quote:
Quote:
Quote:
 

Tags 
fields 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
f~g if and only if f=g, in which T fields?  ricsi046  Abstract Algebra  2  March 8th, 2014 06:23 AM 
extension fields over Q  Tom19  Abstract Algebra  2  November 13th, 2013 06:20 AM 
finite fields  gelatine1  Abstract Algebra  2  February 1st, 2013 03:03 PM 
Fields  Hagi  Abstract Algebra  4  February 23rd, 2011 10:15 PM 