最大公因式(数)存在定理的注记

A Note on Existent Theorem of Greatest Common Divisor

在多项式理论的最大公因式(数)问题中引进了基元多项式、基元整数的概念,并讨论了其相关性质,并得到了次数最低及唯一性定理,弥补了现行文献在一点上的缺失,丰富了最大公因式(数)存在定理的内涵。

The concepts of basis polynomial and basis integer are introduced discuss the problem on the greatest common divisor （factor） which is included theory. Based on the relative property of basis polynomial and basis integer lowest degree or uniqueness is derived. These results obtained compensate absence and enrich this theorem. in this paper to in the polynomial , the theorem of for the current