# 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

xâ†’dxd-1, d â‰ 0 in D. Show that either S = D or S is a subset of D.

See the attached file.

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Modern Algebra

Division Ring

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

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