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On ideals of minors fixing a submatrix

✍ Scribed by J.F Andrade; A Simis

Book ID
103133958
Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
703 KB
Volume
102
Category
Article
ISSN
0021-8693

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✍ LeRoy B. Beasley; Steve Kirkland πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 713 KB

For a primitive matrix A of order n + k having a primitive submatrix of order 71, we prove that the exponent of A is at most (n -1)" + 2k + 1. We characterize those matrices attaining the bound in terms of their directed graphs, and explicitly describe those graphs for the case that k < 2n.