About nilalgebras satisfying (xy)2 = x2y2

DOI10.1080/00927872.2021.1903024OpenAlexW3156449546MaRDI QIDQ5159782

Claudia I. Garcia, Ivan Correa, Behn, Antonio, J. Carlos Gutiérrez Fernández

Publication date: 28 October 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1903024

zbMATH Keywords

finite-dimensional algebrasPI-algebrasAlbert's problemcommutative algebras

Mathematics Subject Classification ID

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

Cites Work

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• On commutative finite-dimensional nilalgebras
• Nilpotent linear spaces and Albert's problem
• Commutative finitely generated algebras satisfying \(((yx)x)x=0\) are solvable
• On the solvability of the commutative power-associative nilalgebras of dimension 6.
• Power associative nilalgebras of dimension 9
• Polarization algebras and their relations
• Commutative power-associative nilalgebras of nilindex 5
• On Jordan-Nilalgebras of Index 3
• ON THE NILPOTENCE OF THE MULTIPLICATION OPERATOR IN COMMUTATIVE RIGHT NIL ALGEBRAS
• On Commutative Power-Associative Nilalgebras
• On the Classification of Commutative Right-Nilalgebras of Dimension at Most Four
• ON CONMUTATIVE LEFT-NILALGEBRAS OF INDEX 4
• Commutative Finite-Dimensional Algebras Satisfyingx(x(xy)) = 0 are Nilpotent
• On Commutative Power-Associative Nilalgebras of Low Dimension
• An Elementary Commutativity Theorem for Rings
• Power-associative rings
• Polynomial identities that imply commutativity for rings

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