===== Left module homomorphism =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $M,N$...left $\mathcal R$-module |

| @#FFBB00: definiendum | @#FFBB00: $A\in \mathrm{Hom}_{\mathcal R}(M,N)$ |

| @#55CCEE: context     | @#55CCEE: $A:M\to N$ |

| @#55EE55: postulate   | @#55EE55: $A\ (r\cdot x+s\cdot y)=r\cdot A\ x+s\cdot A\ y$ |

==== Discussion ====
==== Reference ====
Wikipedia: [[https://en.wikipedia.org/wiki/Left_module#Submodules_and_homomorphisms|Module]]
==== Parents ====
=== Context ===
[[Left module]]