The maximal ideals in quaternion orders
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- by John A. Riley PDF
- Proc. Amer. Math. Soc. 28 (1971), 436-438 Request permission
Abstract:
Let $R$ be a Noetherian, integrally closed local domain, and $\Lambda$ an $R$-order in a generalized quaternion algebra over the quotient field of $R$. In this note, it is proved that: (a) $\Lambda$ has at most two maximal ideals; and (b) in case $\Lambda$ does have exactly two maximal ideals, the corresponding residue class rings are commutative fields.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 436-438
- MSC: Primary 16.20
- DOI: https://doi.org/10.1090/S0002-9939-1971-0274489-7
- MathSciNet review: 0274489