English Dictionary

simple ring

noun

(algebra, ring theory) A ring that contains no nontrivial ideals (i.e., no (two-sided) ideals other than the zero ideal and the ring itself).

She wore a simple ring on her finger.

意味（1）

(algebra, ring theory) A ring that contains no nontrivial ideals (i.e., no (two-sided) ideals other than the zero ideal and the ring itself).

Theorem 2. A semi-simple ring 𝔄 satisfying the minimum condition can be decomposed in only one way as a direct sum of ideals which are simple rings.