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    Division subring S = division ring D or S is a subset of D

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    Modern Algebra
    Division Ring

    Let D be a division ring, Z its center and let S be a division subring of D which is stabilized by every map
    x→dxd-1, d ≠ 0 in D. Show that either S = D or S is a subset of D.

    See the attached file.

    © BrainMass Inc. brainmass.com December 24, 2021, 5:15 pm ad1c9bdddf
    https://brainmass.com/math/ring-theory/division-subrings-division-ring-subset-37699

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    SOLUTION This solution is FREE courtesy of BrainMass!

    Modern Algebra
    Division Ring

    Let D be a division ring, Z its center and let S be a division subring of D which is stabilized by every map
    x→dxd-1, d ≠ 0 in D. Show that either S = D or S is a subset of D.

    See the attached file for the solution of the problem.

    Thanks for using BrainMass.com. Have a great day.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 5:15 pm ad1c9bdddf>
    https://brainmass.com/math/ring-theory/division-subrings-division-ring-subset-37699

    Attachments

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