On the centers of a radical ring (Q689699)

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scientific article; zbMATH DE number 446306
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On the centers of a radical ring
scientific article; zbMATH DE number 446306

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    On the centers of a radical ring (English)
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    15 November 1993
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    Let \((R,+,\circ)\) be the associated Lie ring and \((R,*)\) the adjoint group of a radical ring \(R\). It is shown that the upper central chain of the Lie ring \((R,+,\circ)\) and the upper \((R,*)\)-stable chain of the module \((R,+)\) are equal at each step.
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    Lie ring
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    adjoint group
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    radical ring
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    upper central chain
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