Modules over strongly semiprime rings

A. A. Tuganbaev

Diskretnaya Matematika, Tome 30 (2018) no. 1, pp. 129-135

Résumé

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.

Détail

Keywords: injective module; strongly semiprime ring; quasi-injective module.

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