Bourbaki

Corollary 4

Tag 05P9, permanent. Cite it as [Bourbaki, Tag 05P9].

Algebra, chapter II, § 3. Tensor products

Let a,ba, b be two ideals in a commutative ring CC; the CC-module (C/a)⊗C(C/b)(C/a) \otimes_C (C/b) is then canonically isomorphic to C(a+b)C(a + b).

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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Cites

Nothing.

Transcribed from the printed edition, 1998, Springer. Not translated.