Let R be a finite dimensional C-algebra (C=Complex numbers) and S a simple R-module. Why does it follow that [itex]End_{R}(S)[/itex] is also finite dimensional (as C-vector spaces, I'm guessing)? I'm not really sure how to construct a basis for it using one of S, and there's probably another reason for it (is end(S) embedded in S or something?)(adsbygoogle = window.adsbygoogle || []).push({});

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# Endomorphism ring of a module

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