Bourbaki

Definition 7

Tag 055O, permanent. Cite it as [Bourbaki, Tag 055O].

Algebra, chapter I, § 1. Laws of composition; associativity; commutativity

Let E be a magma whose law is denoted by ⊤\top. Two elements x and y of E are said to commute (or to be permutable) if y⊤x=x⊤yy \top x = x \top y.

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

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Cites

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