Cayley–Dickson process and centrally essential rings

DOI10.1142/S0219498819502293zbMath1439.17007arXiv1901.00996OpenAlexW2963622646MaRDI QIDQ5206060

Askar A. Tuganbaev, Viktor T. Markov

Publication date: 17 December 2019

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

Full work available at URL: https://arxiv.org/abs/1901.00996

zbMATH Keywords

Cayley-Dickson processcentrally essential ring

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (3)

Victor Timofeevich Markov (21.06.1948 -- 15.07.2019) ⋮ Centrally essential rings ⋮ Uniserial Noetherian centrally essential rings

Cites Work

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• Levels and sublevels of algebras obtained by the Cayley-Dickson process
• Quaternion algebras over commutative rings
• Some identities in algebras obtained by the Cayley-Dickson process
• How to obtain division algebras from a generalized Cayley-Dickson doubling process
• Nonassociative quaternion algebras over rings
• On generalized Cayley-Dickson algebras
• On the Algebras Formed by the Cayley-Dickson Process

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