Indecomposability or indecomposable may refer to any of several subjects in mathematics:
*
Indecomposable module In abstract algebra, a module is indecomposable if it is non-zero and cannot be written as a direct sum of two non-zero submodules. Jacobson (2009), p. 111.
Indecomposable is a weaker notion than simple module (which is also sometimes called irredu ...
, in algebra
*
Indecomposable distribution
In probability theory, an indecomposable distribution is a probability distribution that cannot be represented as the distribution of the sum of two or more non-constant independent random variables: ''Z'' ≠ ''X'' + ''Y''. I ...
, in probability
*
Indecomposable continuum
In point-set topology, an indecomposable continuum is a continuum that is indecomposable, i.e. that cannot be expressed as the union of any two of its proper subcontinua. In 1910, L. E. J. Brouwer was the first to describe an indecomposable cont ...
, in topology
*
Indecomposability (intuitionistic logic)
In intuitionistic analysis and in computable analysis, indecomposability or indivisibility (german: Unzerlegbarkeit, from the adjective ''unzerlegbar'') is the principle that the continuum cannot be partitioned into two nonempty pieces. This pri ...
, a principle in constructive analysis and in computable analysis
* Indecomposability of a polynomial in
polynomial decomposition
In mathematics, a polynomial decomposition expresses a polynomial ''f'' as the functional composition g \circ h of polynomials ''g'' and ''h'', where ''g'' and ''h'' have degree greater than 1; it is an algebraic functional decomposition. Algorith ...
* A property of certain ordinals; see
additively indecomposable ordinal
In set theory, a branch of mathematics, an additively indecomposable ordinal ''α'' is any ordinal number that is not 0 such that for any \beta,\gamma<\alpha, we have Additively indecomposable ordi ...
{{dab