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Non-commutative rings and algebras, non-associative algebras. Can be used in combination with ra.rings-and-algebras
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Q-Divisor and Determinant Map on a Maximal Order
The determinant should map to ${\cal A}^* \rightarrow {\cal O}_X(e(1-1/e)$. You can see this along $C$ in codimension one since if you \'etale localize at the generic point of $C$ then the structure …