Last Updated：2025/12/04

Dictionary quizzes to help you remember vocabulary

(algebra) An algebra that contains no nontrivial proper (two-sided) ideals and whose multiplication operation is not zero (i.e., there exist a and b such that ab ≠ 0).

音声機能が動作しない場合はこちらをご確認ください

See correct answer

simple algebra

Edit Histories（0）

Source Word

simple algebra

Noun

(algebra) An algebra that contains no nontrivial proper (two-sided) ideals and whose multiplication operation is not zero (i.e., there exist a and b such that ab ≠ 0).

Japanese Meaning

非自明な両側イデアル（単なる零イデアルと全体以外のイデアルを持たず）、かつその積が零にならない代数。

What is this buttons?

The classification of modules over a simple algebra often reveals deep structural insights about representation theory.

Google Translation / DeepL Translation

単純代数上の加群の分類は、しばしば表現論に関する深い構造的洞察を明らかにする。

Details

Sense（1）

(algebra) An algebra that contains no nontrivial proper (two-sided) ideals and whose multiplication operation is not zero (i.e., there exist a and b such that ab ≠ 0).