Bourbaki

Proposition 7

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

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

— *If a,b∈K∗a, b \in K^*, and if d is a gcd of a and b, and m an lcm of a and b, then the product dm is an associate of ab.

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, 2003, Springer. Not translated.