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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 S ⊂ B is any subset, then S C denotes the complement B – S.
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