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