Structure of primitive axial algebras

DOI10.1016/J.JALGEBRA.2023.07.016arXiv2206.04120OpenAlexW4385311845MaRDI QIDQ6052920

Yoav Segev, Louis Halle Rowen

Publication date: 25 September 2023

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.04120

zbMATH Keywords

idempotentpower-associativeaxisflexible algebrafusion law

Mathematics Subject Classification ID

Power-associative rings (17A05) Noncommutative Jordan algebras (17A15) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Flexible algebras (17A20) Idempotents, Peirce decompositions (17C27)

Cites Work

• Miyamoto involutions in axial algebras of Jordan type half
• Primitive axial algebras are of Jordan type
• Decomposition algebras and axial algebras
• Primitive axial algebras of Jordan type
• Axes in non-associative algebras
• On the structure of axial algebras
• On primitive axial algebras of Jordan type
• Axes of Jordan type in non-commutative algebras

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