Under study are the dual automorphism-invariant modules and pseudoprojective modules. Some conditions were found under which the dual automorphism-invariant module over a perfect ring is quasiprojective. We also show that if R is a right perfect ring then a pseudoprojective right R -module M is finitely generated if and only if M is a Hopf module.
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Abyzov et al. (2017) studied this question.