Locally nilpotent derivations of factorial domains
2019 ◽
Vol 18
(12)
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pp. 1950222
Let [Formula: see text] be factorial domains containing [Formula: see text]. In this paper, we give a criterion, in terms of locally nilpotent derivations, for [Formula: see text] to be [Formula: see text]-isomorphic to [Formula: see text], where [Formula: see text] is nonzero and [Formula: see text]. As a consequence, we retrieve a recent result due to Masuda [Families of hypersurfaces with noncancellation property, Proc. Amer. Math. Soc. 145(4) (2017) 1439–1452] characterizing Danielewski hypersurfaces whose coordinate ring is factorial. We also apply our criterion to the study of triangularizable locally nilpotent [Formula: see text]-derivations of the polynomial ring in two variables over [Formula: see text].
2019 ◽
Vol 30
(01)
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pp. 117-123
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2010 ◽
Vol 53
(1)
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pp. 97-113
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2018 ◽
Vol 22
(02)
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pp. 1850085
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2015 ◽
Vol 25
(03)
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pp. 433-438
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2015 ◽
Vol 14
(09)
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pp. 1540003
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2019 ◽
Vol 101
(3)
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pp. 438-441
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