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Diskretnaya Matematika, 2018, Volume 30, Issue 1, Pages 129–135
DOI: https://doi.org/10.4213/dm1458 (Mi dm1458) 		 
Modules over strongly semiprime rings

A. A. Tuganbaevab

a National Research University "Moscow Power Engineering Institute"
b Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/dm1458
Abstract: For a ring $A$, the following conditions are equivalent. 1) $A$ is a right strongly semiprime ring. 2) Every right $A$-module which is injective with respect to some essential right ideal of the ring $A$, is an injective module. 3) Every quasi-injective right $A$-module which is injective with respect to some essential right ideal of the ring $A$ is an injective module.
Keywords: injective module; strongly semiprime ring; quasi-injective module.
Funding agency Grant number
Russian Science Foundation 16-11-10013
Received: 29.08.2017
English version:
Discrete Mathematics and Applications, 2019, Volume 29, Issue 2, Pages 143–147
DOI: https://doi.org/10.1515/dma-2019-0013
Bibliographic databases:
Document Type: Article
UDC: 512.55
Language: Russian
Citation: A. A. Tuganbaev, “Modules over strongly semiprime rings”, Diskr. Mat., 30:1 (2018), 129–135; Discrete Math. Appl., 29:2 (2019), 143–147
Citation in format AMSBIB
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