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An axiomatic characterization of the Gabriel-Roiter measure

Henning Krause
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Abstract

Given an abelian length category A, the Gabriel-Roiter measure with respect to a length function l is characterized as a universal morphism ind(A)-->P of partially ordered sets. The map is defined on the isomorphism classes of indecomposable objects of A and is a suitable refinement of the length function l.

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Henning Krause. 2006-09-27. An axiomatic characterization of the Gabriel-Roiter measure. https://arxiv.org/abs/math/0604202

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