Generalized Bassian Modules over Non-primitive Dedekind Prime Rings

A right $A$-module $M$ is said to be generalized bassian if the existence of an injective homomorphism $M\to M\mathrm{/}N$ for some submodule $N$ of $M$ implies that $N$ is a direct summand of $M$. We describe singular generalized bassian modules over non-primitive Dedekind prime rings.\ The study is supported by grant of Russian Science Foundation.