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: Addition in R

  1. Mar 2, 2008 #1
    1. Consider the set Z of integers, and let R denote the subset all multiples of 4. Define addition as ordinary addition in Z, and define multiplication * in R by a*b = ab/4

    a. Show that (R, +, *) is a ring with unity (what is the unity of R?)

    b. Show that the mapping Ø: R → Z defined by Ø(x) = x/4 is an isomorphism
  2. jcsd
  3. Mar 2, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    That looks straightforward enough. Why don't you just prove those things? What's stopping you?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook