Nilpotent linear transformations and the solvability of power-associative nilalgebras

DOI10.1016/j.laa.2004.08.007zbMath1066.17001OpenAlexW2044796542MaRDI QIDQ1763821

Pedro Pablo Julca, Irvin Roy Hentzel, Luiz Antonio Peresi, Ivan Correa

Publication date: 22 February 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.08.007

zbMATH Keywords

nilpotentsolvableAlbert's problemcommutative power-associative nilalgebraNilpotent linear transformations

Mathematics Subject Classification ID

Power-associative rings (17A05) Nonassociative algebras satisfying other identities (17A30)

Related Items (3)

On the Classification of Commutative Right-Nilalgebras of Nilindex 5 and Dimension 4 ⋮ Nilpotency of commutative finitely generated algebras satisfying \(L_x^3+\gamma\, L_{x^3}\), \(\gamma =1,0\) ⋮ Commutative Power-Associative Algebras of Nilindex Four

Cites Work

• Unnamed Item
• On a class of commutative power-associative nilalgebras
• On the solvability of the commutative power-associative nilalgebras of dimension 6.
• On nilalgebras and linear varieties of nilpotent matrices. III
• On nilalgebras and linear varieties of nilpotent matrices. II
• On Nilalgebras and Linear Varieties of Nilpotent Matrices, I
• On Commutative Power-Associative Nilalgebras of Low Dimension
• Power-associative rings
• On the solvability of the five-dimensional commutative power-associative nilalgebras
• On solvability of noncommutative power-associative nilalgebras

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