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
Quasi-duo differential polynomial rings
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DOI: 10.1142/s021949881850072x
Abstract: In this article we give a characterization of left (right) quasi-duo differential polynomial rings. We provide non-trivial examples of such rings and give a complete description of the maximal idea ... read more here.
Keywords: quasi duo; duo differential; differential polynomial; polynomial rings ... See more keywords
On the Zeros of the Differential Polynomial φ(z)f2(z)f′(z)2 − 1
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DOI: 10.3390/math7010087
Abstract: In this study, the value distribution of the differential polynomial φ f 2 f ′ 2 − 1 is considered, where f is a transcendental meromorphic function, φ ( ≢ 0 ) is a small… read more here.
Keywords: differential polynomial; zeros differential; function;