Email this article Axiomatizability of the class of weakly injective S-acts
- Authors: Efremov E.L.1, Stepanova A.A.2
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Affiliations:
- Far Eastern Federal University
- Institute of Applied Mathematics
- Issue: Vol 58, No 4 (2017)
- Pages: 611-618
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171302
- DOI: https://doi.org/10.1134/S0037446617040073
- ID: 171302
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Abstract
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.
About the authors
E. L. Efremov
Far Eastern Federal University
Author for correspondence.
Email: efremov-el@mail.ru
Russian Federation, Vladivostok
A. A. Stepanova
Institute of Applied Mathematics
Email: efremov-el@mail.ru
Russian Federation, Vladivostok
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