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- W2919821633 abstract "A quaternion order O over a Dedekind domain R is Bass if every R-superorder is Gorenstein, and O is basic if it contains an integrally closed quadratic R-order. In this article, we show that these conditions are equivalent in local and global settings: a quaternion order is Bass if and only if it is basic. In particular, we show that the property of being basic is a local property of a quaternion order." @default.
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- W2919821633 date "2019-03-01" @default.
- W2919821633 modified "2023-09-23" @default.
- W2919821633 title "On basic and Bass quaternion orders" @default.
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