论文标题
关于非共同多项式的伪根之间的合理关系
On the rational relationships among pseudo-roots of a non-commutative polynomial
论文作者
论文摘要
对于非交换环r，我们考虑t [t]中多项式的因素化，其中t是一个中心变量。多项式p（t）的伪根是r中的元素x，为此存在多项式q（t）和s（t），使得p（t）= q（t）（t）（t-x）s（t-x）s（t）。我们通过使用钻石操作来用于模块化晶格的覆盖图，研究了P（T）之间存在的合理关系。
For a non-commutative ring R, we consider factorizations of polynomials in R[t] where t is a central variable. A pseudo-root of a polynomial p(t) is an element x in R, for which there exist polynomials q(t) and s(t) such that p(t)=q(t)(t-x)s(t). We investigate the rational relationships that hold among the pseudo-roots of p(t) by using the diamond operations for cover graphs of modular lattices.
