Results 1 to 3 of 3

Math Help - Is my non-commutative algebra correct?

  1. #1
    Junior Member beebe's Avatar
    Joined
    Aug 2011
    Posts
    54

    Is my non-commutative algebra correct?

    Doing algebra without the normal commuting rules is super unintuitive for me. Did I do this right?

    "If G is a group and g,h \in G, write (gh)^{-1} in terms of g^{-1} and h^{-1}"

    What I did (I'm doing all of my operations on the right hand side):

    (gh)^{-1}(gh)=e
    (gh)^{-1}(ghh^{-1})=h^{-1}
    (gh)^{-1}(gg^{-1})=h^{-1}g^{-1}
    (gh)^{-1}=h^{-1}g^{-1}

    Is that right? It seems weird to me that splitting the h and g would make them switch places.
    Last edited by beebe; December 21st 2011 at 05:28 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Mar 2011
    From
    Tejas
    Posts
    3,369
    Thanks
    739

    Re: Is my non-commutative algebra correct?

    your algebra is correct. you can think of it this way:

    when you take off your shoes and socks, you do it in the opposite order as you put them on.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member beebe's Avatar
    Joined
    Aug 2011
    Posts
    54

    Re: Is my non-commutative algebra correct?

    Thanks!

    Ick, that tex was awful. My bad.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Commutative Algebra - Going-up theorem
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: July 21st 2010, 05:32 AM
  2. commutative C*-algebra
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: April 8th 2010, 02:03 AM
  3. Commutative Algebra question
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: February 28th 2010, 10:49 AM
  4. non-Commutative algebra
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: March 21st 2009, 02:09 AM
  5. To non-commutative algebra, please help!
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: February 6th 2009, 06:26 AM

/mathhelpforum @mathhelpforum