设R 是有单位元的交换环.该文主要研究形式矩阵环Mn (R;s)的零因子,得到了一个形式矩阵A 是零因子的充要条件是它的sG 行列式是环R 的零因子.
Let R be a commutative ring with identity In this paper,We investigate the zero divisors of the formal matrix ring Mn (R ; s ). We prove that a formal matrix A ∈ Mn (R ;s ) is a zero divisor if and only if the s determinant of A is a zero divisor of R.