Artin–Wedderburn theorem
In abstract algebra, the Artin–Wedderburn theorem is a classification theorem for semisimple rings and semisimple algebras. The theorem states that an (Artinian) semisimple ring R is isomorphic to a product of finitely many ni-by-ni matrix rings over division rings Di, for some integers ni, both of which are uniquely determined up to permutation of the index i. In particular, any simple left or right Artinian ring is isomorphic to an n-by-n matrix ring over a division ring D, where both n and D are uniquely determined.
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Artin–Wedderburn theorem
In abstract algebra, the Artin–Wedderburn theorem is a classification theorem for semisimple rings and semisimple algebras. The theorem states that an (Artinian) semisimple ring R is isomorphic to a product of finitely many ni-by-ni matrix rings over division rings Di, for some integers ni, both of which are uniquely determined up to permutation of the index i. In particular, any simple left or right Artinian ring is isomorphic to an n-by-n matrix ring over a division ring D, where both n and D are uniquely determined.
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El teorema de Wedderburn-Artin ...... on un centro dado de antemano.
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En mathématiques et plus parti ...... tures semi-simples en général.
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In abstract algebra, the Artin ...... ision rings with given center.
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In algebra astratta, il teorem ...... mil Artin nella forma attuale.
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In de abstracte algebra, een d ...... ingen met een gegeven centrum.
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O teorema de Wedderburn-Artin ...... el de divisão será um corpo K.
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抽象代数学において、アルティン・ウェダーバーンの定理 (Ar ...... 類の問題を与えられた中心をもつ可除環の分類の問題に帰着する。
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617,890,925
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El teorema de Wedderburn-Artin ...... n sobre un anillo de división.
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En mathématiques et plus parti ...... r sa forme définitive en 1927.
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In abstract algebra, the Artin ...... and D are uniquely determined.
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In algebra astratta, il teorem ...... mil Artin nella forma attuale.
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In de abstracte algebra, een d ...... el n als D uniek zijn bepaald.
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O teorema de Wedderburn-Artin ...... em n sobre um anel de divisão.
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抽象代数学において、アルティン・ウェダーバーンの定理 (Ar ...... えば、複素数体上の行列環は実数体上の有限次元単純代数である。
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Artin–Wedderburn theorem
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Stelling van Artin-Wedderburn
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Teorema de Artin-Wedderburn
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Teorema de Artin-Wedderburn
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Teorema di Artin-Wedderburn
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Théorème d'Artin-Wedderburn
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アルティン・ウェダーバーンの定理
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