| Commutative Diagram |
Article Index for Commutative |
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Information AboutCommutative Diagram |
| CATEGORIES ABOUT COMMUTATIVE DIAGRAM | |
| homological algebra | |
| category theory | |
| proofs | |
| mathematical terminology | |
| diagrams | |
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For example, the First Isomorphism Theorem is a commutative triangle as follows: Since f = h o φ, the left diagram is commutative; and since φ = k o f, so is the right diagram. Similarly, the square above is commutative if y o w = z o x. Commutativity makes sense for a polygon of any finite number of sides (including just 1 or 2), and a diagram is commutative if every polygonal subdiagram is commutative. |
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