indecomposableness Antonyms

No Synonyms and anytonyms found

Meaning of indecomposableness

Webster

indecomposableness (n.)

Incapableness of decomposition; stability; permanence; durability.

indecomposableness Sentence Examples

1. The indecomposableness of the ideal was essential for proving the unique factorization theorem.
2. The concept of indecomposableness is fundamental in algebraic number theory.
3. The indecomposableness of the representation implies that the group is simple.
4. The indecomposableness of the tensor product ensures that the resulting vector space is irreducible.
5. The indecomposableness of the Hamiltonian cycle in a graph makes it a useful tool for solving optimization problems.
6. The indecomposableness of the matrix into a product of lower and upper triangular matrices is a key step in solving linear systems.
7. The indecomposableness of the algebraic variety means that it cannot be written as a union of proper subvarieties.
8. The indecomposableness of the random variable into independent components allows for more accurate statistical analysis.
9. The indecomposableness of the homomorphism implies that the kernel and cokernel are trivial.
10. The indecomposableness of the module ensures that it is projective or injective.

FAQs About the word indecomposableness

What is the meaning of the word indecomposableness

Incapableness of decomposition; stability; permanence; durability.

What are the synonyms of the word indecomposableness

No synonyms found.

What are the antonyms of the word indecomposableness

No antonyms found.

What is the usage of word indecomposableness

The indecomposableness of the ideal was essential for proving the unique factorization theorem.

The concept of indecomposableness is fundamental in algebraic number theory.

How to use the word indecomposableness in a sentence?

The indecomposableness of the representation implies that the group is simple.

The indecomposableness of the tensor product ensures that the resulting vector space is irreducible.