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Просмотр по автору "Il’in S."

Просмотр по автору "Il’in S."

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  • On semirings whose simple semimodules are projective 
    Il’in S. (2017)
    © 2017, Pleiades Publishing, Ltd.We study the semirings whose simple semimodules are all projective. In particular, we establish that for every semiring S this condition implies the injectivity of all simple S-semimodules ...
  • On V-semirings and semirings all of whose cyclic semimodules are injective 
    Abuhlail J.; Il’in S.; Katsov Y.; Nam T. (2015)
    © Taylor & Francis Group, LLC. In this article, we introduce and study V-and CI-semirings—semirings all of whose simple and cyclic, respectively, semimodules are injective. We describe Vsemirings for some classes of semirings ...
  • On Wielandt type inequalities for powers of complex matrices 
    Al’pin Y.; Il’in S. (2016)
    © 2016, Pleiades Publishing, Ltd.The criterion for coincidence of spectral radiuses of a complex matrix A and of the matrix |A| obtained by replacing entries of A by their absolute values was given by Wielandt. In this ...
  • Toward homological characterization of semirings by e-injective semimodules 
    Abuhlail J.; Il’in S.; Katsov Y.; Nam T. (2017)
    © 2018 World Scientific Publishing CompanyIn this paper, we introduce and study e-injective semimodules, in particular over additively idempotent semirings. We completely characterize semirings all of whose semimodules are ...

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