Graded-division algebras over arbitrary fields

DOI10.1142/S0219498821400090zbMath1472.16042arXiv1912.11911OpenAlexW3088910248MaRDI QIDQ4988178

Alberto Elduque, Mikhail Kochetov, Yu. A. Bakhturin

Publication date: 12 May 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11911

zbMATH Keywords

classificationfield extensiongraded algebradivision algebraGalois descentgraded-division algebra

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Finite-dimensional division rings (16K20)

Related Items (2)

Graded-division algebras and Galois extensions ⋮ On generic \(G\)-graded Azumaya algebras

Cites Work

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• Simple graded division algebras over the field of real numbers
• Classification of division gradings on finite-dimensional simple real algebras.
• Graded division algebras
• Graded division algebras over the field of real numbers
• Realization of graded-simple algebras as loop algebras
• On nonassociative graded-simple algebras over the field of real numbers
• Graded-simple algebras and cocycle twisted loop algebras
• Group gradings on associative algebras

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