Indices of Imprimitivity of the Temporal Components of a Semigroup of Nonnegative Matrices
- Авторы: Al’pin Y.A.1, Al’pina V.S.2
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Учреждения:
- Kazan’ Federal University
- Kazan’ National Research Technological University
- Выпуск: Том 240, № 6 (2019)
- Страницы: 715-723
- Раздел: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242824
- DOI: https://doi.org/10.1007/s10958-019-04388-6
- ID: 242824
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Аннотация
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.
Об авторах
Yu. Al’pin
Kazan’ Federal University
Автор, ответственный за переписку.
Email: Yuri.Alpin@kpfu.ru
Россия, Kazan’
V. Al’pina
Kazan’ National Research Technological University
Email: Yuri.Alpin@kpfu.ru
Россия, Kazan’
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