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left_module_homomorphism [2013/08/31 14:46] nikolaj |
left_module_homomorphism [2014/03/21 11:11] |
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- | ===== Left module homomorphism ===== | ||
- | ==== Definition ==== | ||
- | | @#88DDEE: $M,N$...left $\mathcal R$-module | | ||
- | | @#FFBB00: $A\in \mathrm{Hom}_{\mathcal R}(M,N)$ | | ||
- | |||
- | | @#88DDEE: $A:M\to N$ | | ||
- | |||
- | | @#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]] | ||
- | ==== Context ==== | ||
- | === Requirements === | ||
- | [[Left module]] |