A Description of Ad-nilpotent Elements in Semiprime Rings with Involution
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DOI: 10.1007/s40840-020-01064-w
Abstract: In this paper, we study ad-nilpotent elements in Lie algebras arising from semiprime associative rings R free of 2-torsion. With the idea of keeping under control the torsion of R , we introduce a more… read more here.
Keywords: mod; torsion; pure nilpotent; nilpotent elements ... See more keywords
Rings in which Nilpotent Elements are Right Singular
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DOI: 10.1007/s41980-018-0085-y
Abstract: It is well known that every central nilpotent element of a ring R belongs to the right (left) singular ideal of R. In this paper, we investigate rings in which all nilpotent elements belong to… read more here.
Keywords: elements right; rings nilpotent; nilpotent elements; right singular ... See more keywords
Rings Whose Nilpotent Elements Form a Wedderburn Radical Subring
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DOI: 10.3390/sym17111815
Abstract: We introduce and study a class of rings, which we call NRW rings, distinguished by the condition that the set of nilpotent elements forms a Wedderburn radical subring. This class includes symmetric and semicommutative rings,… read more here.
Keywords: rings whose; nrw ring; nilpotent elements; whose nilpotent ... See more keywords