simple algebra

Noun

 * 1)  An  that contains no nontrivial  (two-sided) ideals and whose multiplication operation is not zero (i.e., there exist a and b such that ab ≠ 0).
 * 2) * 1945 [McGraw-Hill],, 2nd Edition, 1992, Dover, The Development of Mathematics, page 252,
 * A semi-simple algebra over F is either simple or the direct sum of simple algebras over F.
 * 1) * 1989 [W. H Freeman & Company], Nathan Jacobson, Basic Algebra II, 2nd Edition, 2009, Dover, page 215,
 * If $$A$$ is a finite dimensional simple algebra over $$F$$, then $$A \cong M_n(\Delta)$$ where $$\Delta$$ is a finite dimensional division algebra over $$\Delta$$. [sic]

Translations

 * Italian: algebra semplice