Ⅰ. RESULTSIn [1], A. Abian proved the following theorem.Theorem A （Abian）. Let C be the complex field, P=C[x<sub>0</sub>, x<sub>i</sub>,…, x<sub>ζ</sub>,…] be a polynomial rin...Ⅰ. RESULTSIn [1], A. Abian proved the following theorem.Theorem A （Abian）. Let C be the complex field, P=C[x<sub>0</sub>, x<sub>i</sub>,…, x<sub>ζ</sub>,…] be a polynomial ring over C, where {x<sub>0</sub>, x<sub>1</sub>,…, x<sub>ζ</sub>,…} is a set of algebraically independent indeterminates over C with cardinality not exceeding |C|. Let be a subset of P with smaller than |C|. If every finite subset of has a common zero-point in C, then the whole set has a common zero-展开更多
文摘Ⅰ. RESULTSIn [1], A. Abian proved the following theorem.Theorem A （Abian）. Let C be the complex field, P=C[x<sub>0</sub>, x<sub>i</sub>,…, x<sub>ζ</sub>,…] be a polynomial ring over C, where {x<sub>0</sub>, x<sub>1</sub>,…, x<sub>ζ</sub>,…} is a set of algebraically independent indeterminates over C with cardinality not exceeding |C|. Let be a subset of P with smaller than |C|. If every finite subset of has a common zero-point in C, then the whole set has a common zero-
