Mihai Iosif:Note on self-injective modules, p.61-62

Abstract:

A module $M_R$ is called em co-Hopf if every monomorphism $M\mono{}M$ is an isomorphism. We prove that a self-injective module with finite Goldie dimension is co-Hopf.

Key Words: Self-injective module, Goldie dimension, co-Hopf module.

2000 Mathematics Subject Classification: Primary: 16P60,
Secondary: 13C13, 13E99, 16D80.

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