Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Consider Z4 ({0, 1, 2, 3} mod 4) and GF (4) (also known as GF(2^2)).

  1. Nov 7, 2006 #1
    (a) Is (Z4, +) a group? Is (Z4, +, *) a ring? Explain.
    (b) Is Z4 a field, in other words, does every integer in Z4 have a multiplicative inverse?
    (c) Generate the addition table and multiplication table of GF(4).

    can someone help me. i am clueless?
     
  2. jcsd
  3. Nov 7, 2006 #2

    Hurkyl

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Have you had any thoughts on the problem?
     
  4. Nov 8, 2006 #3

    HallsofIvy

    User Avatar
    Science Advisor

    In particular, have you written out the addition and multiplication tables for Z4?
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook