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In category theory, an abstract mathematical discipline, a nodal decomposition of a morphism φ : X → Y {\displaystyle \varphi :X\to Y} is a representation of φ {\displaystyle \varphi } as a product φ = σ ∘ β ∘ π {\displaystyle \varphi =\sigma \circ \beta \circ \pi } , where π {\displaystyle \pi } is a strong epimorphism, β {\displaystyle \beta } a bimorphism, and σ {\displaystyle \sigma } a strong monomorphism.
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