Bourbaki

Proposition 12

Tag 06XL, permanent. Cite it as [Bourbaki, Tag 06XL].

Algebra, chapter VI, § 1. Ordered groups. Divisibility

— Let aia_i be a finite number nn of pairwise coprime elements of A\mathbf{A}; then the product a1…ana_1 \ldots a_n, is an lcm of a1,…,ana_1, \ldots, a_n.

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

Cited by

Nothing.

Cites

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Transcribed from the printed edition, 2003, Springer. Not translated.