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Fundamentalnaya i Prikladnaya Matematika, 2013, Volume 18, Issue 4, Pages 129–135
(Mi fpm1534)
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This article is cited in 10 scientific papers (total in 10 papers)
Automorphism-invariant modules
A. A. Tuganbaev Plekhanov Russian State University of Economics, Moscow, Russia
Abstract:
It is proved that all automorphism-invariant nonsingular right $A$-modules are injective if and only if the factor ring $A/G(A_A)$ of the ring $A$ with respect to the right Goldie radical $G(A_A)$ is right strongly semiprime.
Citation:
A. A. Tuganbaev, “Automorphism-invariant modules”, Fundam. Prikl. Mat., 18:4 (2013), 129–135; J. Math. Sci., 206:6 (2015), 694–698
Linking options:
https://www.mathnet.ru/eng/fpm1534 https://www.mathnet.ru/eng/fpm/v18/i4/p129
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Abstract page: | 251 | Full-text PDF : | 138 | References: | 35 |
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