Let R be a commutative ring without zero-divisor,R is called a quasi-valuation ring,if it contains a non-zero element a such that any non-zero element of R divides a power of a.

• 一个无零因子的交换环R称为拟赋值环,如果R中有一个非零元素a,使得R的任意非零元都整除a的某个方幂。