A classification of graded extensions in a skew Laurent polynomial ring, II

作者：Xie, Guangming^*; Marubayashi, Hidetoshi

来源：Journal of the Mathematical Society of Japan, 2009, 61(4): 1111-1130.

DOI：10.2969/jmsj/06141111

• graded extension
• total valuation ring
• skew Laurent polynomial ring
• homogeneous element
• division ring

Let V be a total valuation ring of a division ring K with an automorphism sigma and let A = circle times(i is an element of z)A(i)X(i) be a graded extension of V in K[X, X-1; sigma ], the skew Laurent polynomial ring. We classify A by distinguishing three different types based on the properties of A(1) and A(-1), and a complete description of A(i) for all i is an element of Z is given in the case where A(1) is not, a finitely generated left O-l(A(1))-ideal.

• 出版日期2009-10
• 单位广西师范大学