Remak decomposition

In mathematics, a Remak decomposition, introduced by Remak (1911), is a decomposition of an abelian group or similar object into a finite direct sum of indecomposable objects.

The Krull–Schmidt theorem gives conditions for a Remak decomposition to exist and for its factors to be unique.

References

Remak, Robert (1911), "Über die Zerlegung der endlichen Gruppen in direkte unzerlegbare Faktoren", Journal für die reine und angewandte Mathematik (in German), 139: 293–308, doi:10.1515/crll.1911.139.293, ISSN 0075-4102, JFM 42.0156.01

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