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Indecomposable
Translation of "indecomposable" into Russian
indecomposable
Adjective
UK
/ˌɪndɪˈkɒmpəzəbl/
US
/ˌɪndɪˈkɑmpəˌzəbl/
indecomposable
more indecomposable Comp.
most indecomposable Super.
The mathematician studied the properties of indecomposable matrices.
Математик изучал свойства неразложимых матриц.
Definitions
indecomposable
Noun
UK
/ˌɪndɪˈkɒmpəzəbl/
US
/ˌɪndɪˈkɑmpəˌzəbl/
An object that is not decomposable; especially, an algebraic structure that cannot be expressed as a direct sum of two non-trivial parts.
The algebra can be decomposed into a direct sum of indecomposables.
indecomposable
Adjective
UK
/ˌɪndɪˈkɒmpəzəbl/
US
/ˌɪndɪˈkɑmpəˌzəbl/
Not able to be broken down into simpler components or elements.
The indecomposable nature of the compound made it difficult for scientists to analyze its structure.
(Mathematics) Of an object, not expressible as a direct sum of two non-trivial subobjects.
In representation theory, every module can be written as a sum of indecomposable modules.