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Part of the book series: Encyclopaedia of Mathematical Sciences ((EMS,volume 136))

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Abstract

Let B denote a commutative k-domain, where k is any field of characteristic zero. Then B*. denotes the group of units of B and frac(B) denotes the field of fractions of B. Further, Aut(B) denotes the group of ring automorphisms of B, and Autk(B) denotes the group of automorphisms of B as a k-algebra. If SB is any subset, then SC denotes the complement BS.

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© 2006 Springer

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Freudenburg, G. (2006). First Principles. 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_2

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