
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
August 5th, 2017, 04:23 AM  #1 
Newbie Joined: Apr 2017 From: Canada Posts: 27 Thanks: 1  Help with modules
Please help me prove the following theorem: This theorem apparently holds when $\displaystyle p$ is prime, and $\displaystyle a $ is NOT a multiple of $\displaystyle p$. If, $\displaystyle ab = ac $ $\displaystyle mod(p)$ Then $\displaystyle b = c $ $\displaystyle mod(p)$ 
August 5th, 2017, 05:04 AM  #2 
Senior Member Joined: Oct 2009 Posts: 142 Thanks: 60 
When is $a$ invertible? I.e. can you find an $x$ such that $ax=1$ mod(p)?

August 5th, 2017, 08:52 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 18,048 Thanks: 1395 
The standard notation, for example, $\displaystyle ab \equiv ac \pmod p$, is preferred.

August 5th, 2017, 04:55 PM  #4 
Senior Member Joined: Oct 2009 Posts: 142 Thanks: 60  
August 5th, 2017, 04:58 PM  #5 
Global Moderator Joined: Dec 2006 Posts: 18,048 Thanks: 1395 
What I meant was "preferred on this website".


Tags 
modules 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Modules  absolute value HELP  Brunoo1601  Elementary Math  2  February 20th, 2012 08:34 AM 
Free modules .. does this solution work?  watson  Abstract Algebra  1  December 30th, 2011 06:21 AM 
Localized Modules isomorphism  Modus.Ponens  Abstract Algebra  1  October 28th, 2011 08:27 AM 
Commutative Diagram of Modules  xboxlive89128  Abstract Algebra  0  May 14th, 2009 08:40 PM 
Commutative Diagram, Modules  xboxlive89128  Abstract Algebra  0  May 14th, 2009 08:28 PM 