Hopfian module
A left (right) module over a ring is Hopfian if every surjective -endomorphism of is an automorphism. Dually, a left (right) -module is cohopfian if every injective
-endomorphism of is an automorphism.
References
- 1 T. Y. Lam, Lectures on Modules and Rings, Springer-Verlag, New York (1999).