On the solvability of the commutative power-associative nilalgebras of dimension 6.
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Publication:1399927
DOI10.1016/S0024-3795(02)00718-8zbMath1109.17302MaRDI QIDQ1399927
Luiz Antonio Peresi, Irvin Roy Hentzel, Ivan Correa
Publication date: 30 July 2003
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Related Items (14)
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 ⋮ COMMUTATIVE JORDAN NILALGEBRAS OF NILINDEX 4 GENERATED BY AT MOST THREE ELEMENTS ⋮ 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 ⋮ Nilpotent linear transformations and the solvability of power-associative nilalgebras ⋮ Polarization algebras and their relations ⋮ Nilpotency of commutative finitely generated algebras satisfying \(L_x^3+\gamma\, L_{x^3}\), \(\gamma =1,0\) ⋮ Commutative Power-Associative Algebras of Nilindex Four ⋮ Commutative power-associative nilalgebras of nilindex 5 ⋮ Embedding of \(\mathfrak{sl}_2(\mathbb{C})\)-modules into four-dimensional power-associative zero-algebra modules
Cites Work
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- On a class of commutative power-associative nilalgebras
- On nilalgebras and linear varieties of nilpotent matrices. II
- 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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