Category:Definitions/Module Isomorphisms

This category contains definitions related to Module Isomorphisms.
Related results can be found in Category:Module Isomorphisms.

Let $\struct {G, +_G, \circ}_R$ and $\struct {H, +_H, \circ}_R$ be $R$-modules.

Let $\phi: G \to H$ be a module homomorphism.

Then $\phi$ is a module isomorphism if and only if $\phi$ is a bijection.