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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.

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    Modern Algebra
    Division Ring

    Solution Summary

    This solution is comprised of a detailed explanation of the problems of division rings. It contains step-by-step explanation for the problem.