indecomposable (Meaning)
Webster
indecomposable (a.)
Not decomposable; incapable or difficult of decomposition; not resolvable into its constituents or elements.
Synonyms & Antonyms of indecomposable
No Synonyms and anytonyms found
indecomposable Sentence Examples
- The indecomposable elements in a mathematical structure resist further decomposition into smaller units.
- In ring theory, an indecomposable module cannot be expressed as the direct sum of two smaller modules.
- The Indecomposable Pumping Lemma plays a crucial role in finite automata theory and regular languages.
- The indecomposable representation of a Lie algebra is irreducible under certain constraints.
- Indecimposable topological spaces have connected components that cannot be separated further.
- The indecomposable complex projections on a quantum state represent its pure components.
- In graph theory, an indecomposable graph remains connected after removing any vertex.
- The indecomposable nature of topological groups facilitates their algebraic characterization.
- Indecimposable continuous functions preserve the topology of their domains and ranges.
- Indecimposable matrices are useful in linear algebra for studying system stability and matrix factorizations.
FAQs About the word indecomposable
Not decomposable; incapable or difficult of decomposition; not resolvable into its constituents or elements.
No synonyms found.
No antonyms found.
The indecomposable elements in a mathematical structure resist further decomposition into smaller units.
In ring theory, an indecomposable module cannot be expressed as the direct sum of two smaller modules.
The Indecomposable Pumping Lemma plays a crucial role in finite automata theory and regular languages.
The indecomposable representation of a Lie algebra is irreducible under certain constraints.
