Results 1 to 2 of 2

Math Help - Unequal Left/Right Identity

  1. #1
    Member
    Joined
    Oct 2009
    Posts
    128

    Unequal Left/Right Identity

    Hello,

    I'm trying to find an example of any set S with a binary operation \ast (meaning that it's closed) where there is a left identity that is NOT a right identity

    So, for some a,x \in S,
    a \ast x = a, but  x \ast a NOT = a

    Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor undefined's Avatar
    Joined
    Mar 2010
    From
    Chicago
    Posts
    2,340
    Awards
    1
    Quote Originally Posted by matt.qmar View Post
    Hello,

    I'm trying to find an example of any set S with a binary operation \ast (meaning that it's closed) where there is a left identity that is NOT a right identity

    So, for some a,x \in S,
    a \ast x = a, but  x \ast a NOT = a

    Thanks!
    If you play around with a Cayley table for a set with two elements, you should find one pretty quickly.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. unequal probability sampling
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: March 27th 2011, 08:51 AM
  2. [SOLVED] Calculate unequal
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: October 19th 2010, 01:12 PM
  3. left identity of a set
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: March 30th 2010, 01:32 AM
  4. two unequal circles-geometry
    Posted in the Geometry Forum
    Replies: 1
    Last Post: October 25th 2009, 09:16 AM
  5. difference of unequal angles
    Posted in the Geometry Forum
    Replies: 1
    Last Post: June 18th 2007, 05:36 PM

Search Tags


/mathhelpforum @mathhelpforum