Factorization in quaternion orders

DOI10.1016/0022-314X(89)90009-7zbMath0682.12011MaRDI QIDQ1823993

Dennis R. Estes, Gordon Nipp

Publication date: 1989

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

factorizationspinor genusquaternion orders

Mathematics Subject Classification ID

Quadratic forms over global rings and fields (11E12) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (6)

Sets of lengths in maximal orders in central simple algebras. ⋮ Factorization in hereditary orders ⋮ Factorization theory: from commutative to noncommutative settings. ⋮ Factorizations of Elements in Noncommutative Rings: A Survey ⋮ Classification of one-class spinor genera for quaternary quadratic forms ⋮ Perturbative higher-derivative terms in \(\mathcal{N} = 6\) asymmetric orbifolds

Cites Work

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• Arithmétique des algèbres de quaternions
• Spinor norms of local integral rotations. II
• The thirty-nine systems of quaternions with a positive norm-form and satisfactory factorability
• The Spinor Genus of Quaternion Orders
• Submodules of Quaternion Algebras

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