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Indecomposability and the number of links

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Abstract

Let (ℋ, ℳ) be a linear matrix problem induced from a finite dimensional algebra ∧. Then anṉ ×ṉ matrix M in R(ℋ, ℳ) is indecomposable if and only if the number of links in the canonical formM (∞) of M is equal to. ℳ-dimṉ − 1. On the other hand, the dimension of the endomorphism ring of M is equal to ℋ-dimṉ − σ(M).

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, China

    Yunge Xu & Yingbo Zhang

Authors
  1. Yunge Xu
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  2. Yingbo Zhang
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Correspondence to Yunge Xu.

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Xu, Y., Zhang, Y. Indecomposability and the number of links. Sci. China Ser. A-Math. 44, 1515–1522 (2001). https://doi.org/10.1007/BF02880791

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  • DOI: https://doi.org/10.1007/BF02880791

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