Indecomposability and the number of links |
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| Authors: | XU Yunge ZHANG Yingbo |
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| Affiliation: | Department of Mathematics, Beijing Normal University, Beijing 100875, China |
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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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| Keywords: | linear matrix problem canonical form indecomposability link endomorphism ring |
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