indecomposable

Speech parts

1. indecomposable - Noun

2. indecomposable - Adjective

Meaning

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

Synonyms

Antonyms

Examples

Every injective module can be decomposed as direct sum of indecomposable injective modules. Source: Internet

In classical arithmetic any indecomposable number is a prime (and vice versa), but in more general domains a number may be indecomposable, such as 3 here, yet not prime in the earlier sense. Source: Internet

The representation ring's additive group is the free abelian group whose basis are the indecomposable modules and whose addition corresponds to the direct sum. Source: Internet

Expressing a module in terms of the basis is finding an indecomposable decomposition of the module. Source: Internet

Then each is an abelian category and we have an inclusion functor identifying the simple projective, simple injective and indecomposable projective-injective modules. Source: Internet

Then the trace of the indecomposable element v ⊗ f is defined to be f(v); the trace of a general element is defined by linearity. Source: Internet

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