摘要
本文对有0,1的半群S,利用S的左商滤子刻画了S的非奇异性。并对有单位元的交换环R,得到了R是非奇异环。
In this paper, we apply left quotient filter to eharactrize non-singularIy of semigroups with 0 :and 1, and we prove that a commutative ring with 1 is non-singular if and only if it multiplicative semigroup is non-singular.
