Indices of Imprimitivity of the Temporal Components of a Semigroup of Nonnegative Matrices


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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.

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Yu. Al’pin

Kazan’ Federal University

编辑信件的主要联系方式.
Email: Yuri.Alpin@kpfu.ru
俄罗斯联邦, Kazan’

V. Al’pina

Kazan’ National Research Technological University

Email: Yuri.Alpin@kpfu.ru
俄罗斯联邦, Kazan’

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