On Commutative Power-Associative Nilalgebras

DOI10.1081/AGB-120037217zbMath1121.17001OpenAlexW2061066915MaRDI QIDQ3158207

J. Carlos Gutiérrez Fernández

Publication date: 21 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120037217

Mathematics Subject Classification ID

Power-associative rings (17A05)

Related Items (16)

On commutative finite-dimensional nilalgebras ⋮ The space of invariant bilinear forms of the polarization algebra of a polynomial endomorphism: an approach to the problem of Albert ⋮ Power associative nilalgebras of dimension 9 ⋮ On power-associative modules ⋮ On the Classification of Commutative Right-Nilalgebras of Nilindex 5 and Dimension 4 ⋮ Nilpotent linear spaces and Albert's problem ⋮ About nilalgebras satisfying (xy)² = x²y² ⋮ Polarization algebras and their relations ⋮ Nilpotency of commutative finitely generated algebras satisfying \(L_x^3+\gamma\, L_{x^3}\), \(\gamma =1,0\) ⋮ Commutative Finite-Dimensional Algebras Satisfyingx(x(xy)) = 0 are Nilpotent ⋮ Commutative Power-Associative Algebras of Nilindex Four ⋮ A retrospect of the research in nonassociative algebras in IME-USP ⋮ On the Classification of Commutative Right-Nilalgebras of Dimension at Most Four ⋮ Commutative power-associative nilalgebras of nilindex 5 ⋮ On Power-Associative Nilalgebras of Dimension N and Nilindex N-1 ⋮ Embedding of \(\mathfrak{sl}_2(\mathbb{C})\)-modules into four-dimensional power-associative zero-algebra modules

Uses Software

• Albert

Cites Work

• On a class of commutative power-associative nilalgebras
• On nilalgebras and linear varieties of nilpotent matrices. III
• On nilalgebras and linear varieties of nilpotent matrices. II

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