Abstract

Let R be a ring with identity. A non-zero unital right R-module M is compressible if M embeds in each of its non-zero submodules and is monoform if every non-zero homomorphism from a submodule N of M to M is a monomorphism. Compressible and monoform modules are investigated in the case of general rings and in the case of fully bounded rings. Relationships between theclasses of compressible and monoformmodulesand other moduleclasses are obtained.

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