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This article is cited in 2 scientific papers (total in 2 papers)
Axiomatizability of the class of weakly injective $S$-acts
E. L. Efremova, A. A. Stepanovaab a Far Eastern Federal University, School of Natural Sciences, Vladivostok, Russia
b Institute of Applied Mathematics, Vladivostok, Russia
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.
Keywords:
monoid, $S$-act, weakly injective $S$-act, fg-weakly injective $S$-act, p-weakly injective $S$-act, axiomatizability.
Received: 16.06.2016 Revised: 08.11.2016
Citation:
E. L. Efremov, A. A. Stepanova, “Axiomatizability of the class of weakly injective $S$-acts”, Sibirsk. Mat. Zh., 58:4 (2017), 785–795; Siberian Math. J., 58:4 (2017), 611–618
Linking options:
https://www.mathnet.ru/eng/smj2898 https://www.mathnet.ru/eng/smj/v58/i4/p785
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Abstract page: | 225 | Full-text PDF : | 82 | References: | 37 | First page: | 6 |
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