Left module homomorphism
Set
| context | $M,N$…left $\mathcal R$-module |
| definiendum | $A\in \mathrm{Hom}_{\mathcal R}(M,N)$ |
| context | $A:M\to N$ |
| postulate | $A\ (r\cdot x+s\cdot y)=r\cdot A\ x+s\cdot A\ y$ |
Discussion
Reference
Wikipedia: Module
| context | $M,N$…left $\mathcal R$-module |
| definiendum | $A\in \mathrm{Hom}_{\mathcal R}(M,N)$ |
| context | $A:M\to N$ |
| postulate | $A\ (r\cdot x+s\cdot y)=r\cdot A\ x+s\cdot A\ y$ |
Wikipedia: Module