New answers tagged tensor
3
votes
Proving the graded structure of the tensor algebra from only the universal property
LSpice asked me to expand my old comment into an answer.
Let me write $R$ for whatever base commutative ring you are working over, $V$ for your $R$-module, and $TV := T_R V$ for its "tensor ...
0
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Accepted
Proving the graded structure of the tensor algebra from only the universal property
After all of this time I found a simple and direct solution. I can't believe I didn't think of this before:
Let $V$ be an $R$-Module and let $T(V)$ be its tensor algebra. Define $T^n(V)$ to be the ...
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