论文标题
功能环中的非二噬剂集
Non-Diophantine sets in rings of functions
论文作者
论文摘要
除了有限数量的情况外，目前尚无范围的多项式环和理性功能领域的二芬太汀集的完整分类。我们通过证明这些结构上的几种自然集合和关系不是二磷酸的，为这个问题做出了贡献。
Except for a limited number of cases, a complete classification of the Diophantine sets of polynomial rings and fields of rational functions seems out of reach at present. We contribute to this problem by proving that several natural sets and relations over these structures are not Diophantine.
