COMMUTATIVE JORDAN NILALGEBRAS OF NILINDEX 4 GENERATED BY AT MOST THREE ELEMENTS

DOI10.17654/0972555523001MaRDI QIDQ6170190

Joseph Bayara, Unnamed Author

Publication date: 15 August 2023

Published in: JP Journal of Algebra, Number Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

Jordan algebrascommutative nilalgebrasEngel's algebras

Mathematics Subject Classification ID

Jordan structures associated with other structures (17C50) Power-associative rings (17A05) Nonassociative algebras satisfying other identities (17A30)

Cites Work

• Nilpotency of commutative finitely generated algebras satisfying \(L_x^3+\gamma\, L_{x^3}\), \(\gamma =1,0\)
• On the solvability of the commutative power-associative nilalgebras of dimension 6.
• On nilalgebras and linear varieties of nilpotent matrices. II
• Nilpotence of a class of commutative power-associative nilalgebras
• On Jordan-Nilalgebras of Index 3
• JORDAN NILALGEBRAS OF NILINDEXNAND DIMENSIONN+1
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