Strongly Lie nilpotent rings.
Strongly Lie nilpotent rings.
Summary: We define the upper central chain of any ring and we connect it to the lower central chain. Moreover, we give a result on strongly Lie-nilpotent rings that is the analogue of a theorem of P. Hall for nilpotent groups.
- University of Salento Italy
Nil and nilpotent radicals, sets, ideals, associative rings, strongly Lie nilpotent rings, Lie brackets, Rings with involution; Lie, Jordan and other nonassociative structures, upper central series, central chains, lower central series, Ideals in associative algebras
Nil and nilpotent radicals, sets, ideals, associative rings, strongly Lie nilpotent rings, Lie brackets, Rings with involution; Lie, Jordan and other nonassociative structures, upper central series, central chains, lower central series, Ideals in associative algebras
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