On the Dimension of an Arbitrary Ascending Chain
Xiao-Shan Gao, Shang-Ching Chou · 1993
We show that the length of an arbitrary ascending chain has geometric meaning and hence describes certain natural properties for the ascending chain. The results proved in this paper can be used to enhance the efficiency of the Ritt-Wu’s decomposition algorithm and to obtain an unmixed decomposition for an algebraic variety more easily.