Email this article Indices of Imprimitivity of the Temporal Components of a Semigroup of Nonnegative Matrices
- Authors: Al’pin Y.A.1, Al’pina V.S.2
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Affiliations:
- Kazan’ Federal University
- Kazan’ National Research Technological University
- Issue: Vol 240, No 6 (2019)
- Pages: 715-723
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242824
- DOI: https://doi.org/10.1007/s10958-019-04388-6
- ID: 242824
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Abstract
It is proved that the index of imprimitivity of a semigroup of nonnegative block-monomial matrices free of zero rows decomposes into the sum of the indices of imprimitivity of its temporal components, and if the semigroup is block irreducible, then the indices of imprimitivity of all its temporal components coincide.
About the authors
Yu. A. Al’pin
Kazan’ Federal University
Author for correspondence.
Email: Yuri.Alpin@kpfu.ru
Russian Federation, Kazan’
V. S. Al’pina
Kazan’ National Research Technological University
Email: Yuri.Alpin@kpfu.ru
Russian Federation, Kazan’
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