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
    Staff Emeritus
    Science Advisor

    In particular, have you written out the addition and multiplication tables for Z4?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Consider Z4 ({0, 1, 2, 3} mod 4) and GF (4) (also known as GF(2^2)).
  1. X^2 + 1 = 0 (mod 5^3). (Replies: 2)

Loading...