多项式的循环式和共轭式的刻画

On Characterizations of Polynomial’s Cyclic Determinant and Conjugate Determinant

研究了多项式的循环式、预循环式和共轭式,得到了对循环式刻划的一些结论,以及循环式、预循环式与共轭式之间的一些关系,同时还提出了环扩张中求可逆元的方法,并给出了它们在分母有理化方面的应用.

This paper studies the cyclic determinant, pre -cyclic determinant and conjugate determinant of a given polynomial and gets some characterizations of the cyclic determinant, and explains the relations among them. At the same time, the paper suggests a method in finding an element＇s reverse in ring extensions, which can apply to rationalization of denominator.