1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Group of Units of a set

  1. Jun 23, 2014 #1
    1. The problem statement, all variables and given/known data
    Theorm 1: If M is a monoid, the set of M* of all units in M is a group using the operation of M, called the group of units of M.

    My question is this always a "real" group? for example, is this 'group' always closed under the binary operation?


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jun 23, 2014 #2
    Yes. Try to prove it!
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted