2008 年 60 巻 2 号 p. 423-443
Let V be a total valuation ring of a division ring K with an automorphism σ and let A = $\oplus$i ∈ Z AiXi be a graded extension of V in K[X,X-1;σ], the skew Laurent polynomial ring. We classify A by distinguishing four different types based on the properties of A1 and A-1. A complete description of Ai for all i ∈ Z is given in the case where A1 is a finitely generated left Ol(A1)-ideal.
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