Further Properties of Locally Nilpotent Derivations

  • Gene Freudenburg
Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 136)


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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Copyright information

© Springer 2006

Authors and Affiliations

  • Gene Freudenburg
    • 1
  1. 1.Department of MathematicsWestern Michigan UniversityKalamazooUSA

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