Cayley–Dickson process and centrally essential rings

DOI10.1142/S0219498820500966zbMath1451.16020OpenAlexW2902514757WikidataQ114614670 ScholiaQ114614670MaRDI QIDQ3296152

Viktor T. Markov, Askar A. Tuganbaev

Publication date: 7 July 2020

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

Full work available at URL: https://doi.org/10.1142/s0219498820500966

zbMATH Keywords

Cayley-Dickson processcentrally essential ring

Mathematics Subject Classification ID

Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Rings with polynomial identity (16R99) Alternative rings (17D05) General theory of nonassociative rings and algebras (17A01)

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
• Centrally essential rings

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