Example 10.55.2. Note that if R = k is a field then we clearly have K_0(k) = K'_0(k) \cong \mathbf{Z} with the isomorphism given by the dimension function (which is also the length function).
Example 10.55.2. Note that if R = k is a field then we clearly have K_0(k) = K'_0(k) \cong \mathbf{Z} with the isomorphism given by the dimension function (which is also the length function).
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