Bourbaki

Theorem 1 (Wedderburn)

Tag 00S3, permanent. Cite it as [Bourbaki, Tag 00S3].

Algebra, VIII, p. 120, § 7. Simple Rings

A ring is simple if and only if it is isomorphic to a matrix ring Mr(D)\mathbf{M}_r(D), where r⩾1r\geqslant 1 is an integer and D a field.

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

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Cites

Nothing.

Transcribed from the printed edition, 2023, Springer Nature. Not translated.