On the centers of a radical ring
Copyright policy )On the centers of a radical ring
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.
- University of Salento Italy
Nil and nilpotent radicals, sets, ideals, associative rings, radical ring, Rings with involution; Lie, Jordan and other nonassociative structures, adjoint group, upper central chain, Lie ring, Center, normalizer (invariant elements) (associative rings and algebras)
Nil and nilpotent radicals, sets, ideals, associative rings, radical ring, Rings with involution; Lie, Jordan and other nonassociative structures, adjoint group, upper central chain, Lie ring, Center, normalizer (invariant elements) (associative rings and algebras)
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