# Dictionary Definition

decomposable adj : capable of being partitioned
[syn: analyzable]

# User Contributed Dictionary

## English

### Adjective

- Able to be decomposed

# Extensive Definition

In point-set
topology, a continuum
is decomposable if and only if it is the union of two of its proper
subcontinua. This is in contrast to an indecomposable
continuum.

In terms of group
theory, a Group
(mathematics) that has the decomposable property is one that
can be represented as a direct
product of two proper nontrivial subgroups. Otherwise, it is
said to be an indecomposable group.