Abstract
Abstract
For a ring A, the following conditions are equivalent.
A is a right strongly semiprime ring.
Every right A-module which is injective with respect to some essential right ideal of the ring A, is an injective module.
Every quasi-injective right A-module which is injective with respect to some essential right ideal of the ring A is an injective module.
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics
Reference18 articles.
1. “Strongly prime rings”;Trans. Amer. Math. Soc.,1975
2. “Strongly prime rings”;Trans. Amer. Math. Soc.,1975