Results 1 to 3 of 3

Math Help - Rings

  1. #1
    Junior Member
    Joined
    Feb 2010
    Posts
    30

    Rings

    Prove that in any ring R, 0 x a = 0 for all real numbers a.

    Also prove that in any ring R,

    (-1)a = -a for all real numbers a.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    4,261
    Thanks
    2
    Quote Originally Posted by meggnog View Post
    Prove that in any ring R, 0 x a = 0 for all real numbers a.

    "For all REAL numbers..."?? What have real numbers to do here if R is a general ring? Read again CAREFULLY the axioms of ring theory and then use here that a\cdot 0 = a(0+0)= ...



    Also prove that in any ring R,

    (-1)a = -a for all real numbers a.

    The additive inverse of an element in a ring is UNIQUE , so prove (again, using the ring axioms, of course) that (-1)a is an additive inverse of a ...

    Tonio
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Feb 2010
    Posts
    3
    a is Natural, number or can be anything!?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Ring theory, graded rings and noetherian rings
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: January 4th 2012, 12:46 PM
  2. a book on semigroup rings and group rings
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: October 2nd 2011, 05:35 AM
  3. Rings.
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: April 24th 2010, 12:54 AM
  4. rings
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: January 21st 2010, 08:33 AM
  5. Rings with 0 = 1.
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: November 26th 2009, 06:34 AM

Search Tags


/mathhelpforum @mathhelpforum