Category:Linear Transformation of Generated Module

This category contains pages concerning Linear Transformation of Generated Module:

Let $R$ be a ring.

Let $G$ and $H$ be $R$-modules.

Let $\phi$ and $\psi$ be linear transformations from $G$ into $H$.

Let $S$ be a generator for $G$.

Suppose that:

$\forall x \in S: \map \phi x = \map \psi x$

Then $\phi = \psi$.

Pages in category "Linear Transformation of Generated Module"

The following 3 pages are in this category, out of 3 total.