indecomposable Antonyms

No Synonyms and anytonyms found

Meaning of indecomposable

Webster

indecomposable (a.)

Not decomposable; incapable or difficult of decomposition; not resolvable into its constituents or elements.

indecomposable Sentence Examples

  1. The indecomposable elements in a mathematical structure resist further decomposition into smaller units.
  2. In ring theory, an indecomposable module cannot be expressed as the direct sum of two smaller modules.
  3. The Indecomposable Pumping Lemma plays a crucial role in finite automata theory and regular languages.
  4. The indecomposable representation of a Lie algebra is irreducible under certain constraints.
  5. Indecimposable topological spaces have connected components that cannot be separated further.
  6. The indecomposable complex projections on a quantum state represent its pure components.
  7. In graph theory, an indecomposable graph remains connected after removing any vertex.
  8. The indecomposable nature of topological groups facilitates their algebraic characterization.
  9. Indecimposable continuous functions preserve the topology of their domains and ranges.
  10. 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.