simple ring

== English == === Noun === simple ring (plural simple rings) (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). ==== Hypernyms ==== local ring ==== Hyponyms ==== field ==== Translations ==== === See also === semisimple ring simple module Simple (abstract algebra) on Wikipedia.Wikipedia