Indecomposability or indecomposable may refer to any of several subjects in mathematics:

• Indecomposable module, in algebra
• Indecomposable distribution, in probability
• Indecomposable continuum, in topology
• Indecomposability (intuitionistic logic), a principle in constructive analysis and in computable analysis
• Indecomposability of a polynomial in polynomial decomposition
• A property of certain ordinals; see additively indecomposable ordinal

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