simple algebra
simple algebra · simple algebras
An algebra that contains no nontrivial proper ideals and whose multiplication…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).
Meaning
1 sensesAn 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).
1945 [McGraw-Hill], E. T. Bell, 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.
Translations
2 languagesForms
plural: simple algebras| Singular | simple algebra |
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| Plural | simple algebras |
regular