On graded principal ideal domains (Q2883284)

The graded integral domain \(R=\bigoplus_{n\in \mathbb{Z}}R_n\) is said to be a graded principle ideal domain if every graded ideal of \(R\) is generated by a single homogeneous element. The author studies the properties of graded principle ideal domains. One main result of this paper indicates that if \(A_0\) is a PID then \(A_0[x,x^{-1}]\) is a graded principle ideal domain where \(x\) is an indeterminate of degree \(d\)