A radical splitting theorem for alternative algebras over a Hensel ring

DOI10.1007/BF01669104zbMath0471.17006MaRDI QIDQ1157389

Viktor Nikolaevich Zhelyabin

Publication date: 1980

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187084

zbMATH Keywords

alternative ringsAzumaya algebrasseparable algebrasalternative algebras over local Hensel ringanalog of Wedderburn-Mal'cev theorem

Mathematics Subject Classification ID

Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Alternative rings (17D05)

Related Items (3)

Decomposition of a compact ring into the sum of the radical and an inertial subring ⋮ Unnamed Item ⋮ Definition of separability in alternative and Jordan algebras

Cites Work

• Malcev's theorem for alternative algebras
• A Wedderburn Theorem for Alternative Algebras With Identity Over Commutative Rings
• On Maximally Central Algebras

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