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Commutative diagram

The commutative diagram used in the proof of the five lemma

In mathematics, and especially in category theory, a commutative diagram is a diagram such that all directed paths in the diagram with the same start and endpoints lead to the same result.[1] It is said that commutative diagrams play the role in category theory that equations play in algebra.[2]

  1. ^ Weisstein, Eric W. "Commutative Diagram". mathworld.wolfram.com. Retrieved 2019-11-25.
  2. ^ Mazzola, Guerino; Milmeister, Gérard; Weissmann, Jody (2005). Comprehensive Mathematics for Computer Scientists 2. Springer. p. 140. doi:10.1007/b138337. ISBN 978-3-540-26937-3.

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