On semirings whose simple semimodules are projective
- Autores: Il’in S.1
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Afiliações:
- Lobachevskiĭ Institute of Mathematics and Mechanics
- Edição: Volume 58, Nº 2 (2017)
- Páginas: 215-226
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171055
- DOI: https://doi.org/10.1134/S0037446617020045
- ID: 171055
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Resumo
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 and show that, in contrast to the case of rings, the projectivity of all simple semimodules in general is not a left-right symmetric property.
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Sobre autores
S. Il’in
Lobachevskiĭ Institute of Mathematics and Mechanics
Autor responsável pela correspondência
Email: Sergey.Ilyin@kpfu.ru
Rússia, Kazan