Iterated differential polynomial rings over locally nilpotent rings
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DOI: 10.1080/00927872.2020.1797075
Abstract: Abstract We study iterated differential polynomial rings over a locally nilpotent ring and show that a large class of such rings are Behrens radical. This extends results of Chebotar and Chen et al. read more here.
Keywords: rings locally; nilpotent rings; differential polynomial; polynomial rings ... See more keywords
Smiley Theorem for Spectral Operators Whose Radical Part Is Locally Nilpotent
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DOI: 10.3390/sym14020283
Abstract: Generalizing bicommutant theorem to the higher-order commutator case is very useful for representation theory of Lie algebras, which plays an important role in symmetry analysis. In this paper, we mainly prove that for any spectral… read more here.
Keywords: operator; spectral operators; locally nilpotent; part locally ... See more keywords