Indices of Imprimitivity of the Temporal Components of a Semigroup of Nonnegative Matrices
- Autores: Al’pin Y.A.1, Al’pina V.S.2
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Afiliações:
- Kazan’ Federal University
- Kazan’ National Research Technological University
- Edição: Volume 240, Nº 6 (2019)
- Páginas: 715-723
- Seção: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242824
- DOI: https://doi.org/10.1007/s10958-019-04388-6
- ID: 242824
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Resumo
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.
Sobre autores
Yu. Al’pin
Kazan’ Federal University
Autor responsável pela correspondência
Email: Yuri.Alpin@kpfu.ru
Rússia, Kazan’
V. Al’pina
Kazan’ National Research Technological University
Email: Yuri.Alpin@kpfu.ru
Rússia, Kazan’
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