Axiomatizability of the class of weakly injective S-acts
- Autores: Efremov E.L.1, Stepanova A.A.2
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Afiliações:
- Far Eastern Federal University
- Institute of Applied Mathematics
- Edição: Volume 58, Nº 4 (2017)
- Páginas: 611-618
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171302
- DOI: https://doi.org/10.1134/S0037446617040073
- ID: 171302
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Resumo
The concepts of weakly injective, fg-weakly injective, and p-weakly injective S-acts generalize that of injective S-act. We study the monoids S over which the classes of weakly injective, fg-weakly injective, and p-weakly injective S-acts are axiomatizable. We prove that the class of p-weakly injective S-acts over a regular monoid is axiomatizable.
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Sobre autores
E. Efremov
Far Eastern Federal University
Autor responsável pela correspondência
Email: efremov-el@mail.ru
Rússia, Vladivostok
A. Stepanova
Institute of Applied Mathematics
Email: efremov-el@mail.ru
Rússia, Vladivostok
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