# Differences

This shows you the differences between two versions of the page.

 left_module_homomorphism [2013/08/31 14:45]nikolaj created left_module_homomorphism [2014/03/21 11:11] (current) 2013/08/31 14:46 nikolaj 2013/08/31 14:46 nikolaj 2013/08/31 14:45 nikolaj created Next revision Previous revision 2013/08/31 14:46 nikolaj 2013/08/31 14:46 nikolaj 2013/08/31 14:45 nikolaj created Line 1: Line 1: ===== Left module homomorphism ===== ===== Left module homomorphism ===== - ==== Definition ​==== + ==== Set ==== - | @#88DDEE: $M,​N$...left $\mathcal R$-module | + | @#55CCEE: context ​    | @#55CCEE: $M,​N$...left $\mathcal R$-module | - | @#FFBB00: $A\in \mathrm{Hom}_{\mathcal R}(M,N)$ | + | @#FFBB00: definiendum ​| @#FFBB00: $A\in \mathrm{Hom}_{\mathcal R}(M,N)$ | - | @#88DDEE: $A:M\to N$ | + | @#55CCEE: context ​    | @#55CCEE: $A:M\to N$ | - | @#55EE55: $A(r\ x+s\ y)=r\ Ax+s\ Ay$ | + | @#55EE55: postulate ​  | @#55EE55: $A\ (r\cdot x+s\cdot y)=r\cdot A\ x+s\cdot A\ y$ | ==== Discussion ==== ==== Discussion ==== ==== Reference ==== ==== Reference ==== Wikipedia: [[https://​en.wikipedia.org/​wiki/​Left_module#​Submodules_and_homomorphisms|Module]] Wikipedia: [[https://​en.wikipedia.org/​wiki/​Left_module#​Submodules_and_homomorphisms|Module]] - ==== Context ​==== + ==== Parents ​==== - === Requirements ​=== + === Context ​=== [[Left module]] [[Left module]]