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left_module_homomorphism [2013/08/31 14:46]
nikolaj
left_module_homomorphism [2014/03/21 11:11] (current)
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 ===== 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: $A\ (r\ x+s\ y)=r\ A\ x+s\ A\ y$ |+| @#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]]
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