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Primitive matrices over polynomial semirings

✍ Scribed by Shigeki Akiyama; Horst Brunotte


Book ID
113772227
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
455 KB
Volume
436
Category
Article
ISSN
0024-3795

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In this paper, as a generalization of prime Boolean matrices and prime fuzzy matrices, we study semiprime matrices over chain semirings using the relationship between semiprime matrices and their row spaces. We show that a nonmonomial matrix with full semiring rank can be expressed as a product of e