整数理想子环 integral ideal
闭理想子环 closed ideal minor ring
无因子的理想子环 divisorless ideal
初等因子理想子环 elementary divisor ideal
零化理想子环 annihilating ideal
准质理想子环 primaryideal
曲体的理想子环 ideal of a variety
理想子环
Ideal subring
以上为机器翻译结果，长、整句建议使用 人工翻译 。
对同态映射下环中近似集合的变化规律进行了讨论，得到了粗糙子环、粗糙理想同态象的若干性质。
The properties of the homomorphic images of rough subrings and rough ideals are obtained by discussing the variation of approximation operators under homomorphic mapping in the ring.
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