Abstract
In this chapter, the purpose of the first three sections is to investigate derivations in the case B has one or more nice divisorial properties, in addition to the on-going assumption that B is a commutative k-domain, where k is a field of characteristic zero. Subsequent sections discuss the defect of a derivation, exponential automorphisms, and construction of kernel elements. The term unique factorization domain is abbreviated by UFD, and principal ideal domain by PID.
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© 2006 Springer
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Freudenburg, G. (2006). Further Properties of Locally Nilpotent Derivations. In: Algebraic Theory of Locally Nilpotent Derivations. Encyclopaedia of Mathematical Sciences, vol 136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-29523-5_3
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DOI: https://doi.org/10.1007/978-3-540-29523-5_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29521-1
Online ISBN: 978-3-540-29523-5
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