Nilpotency of commutative finitely generated algebras satisfying \(L_x^3+\gamma\, L_{x^3}\), \(\gamma =1,0\)
From MaRDI portal
Publication:555549
DOI10.1016/j.jalgebra.2010.12.002zbMath1246.17001OpenAlexW2097146023MaRDI QIDQ555549
Alicia Labra, Ivan Correa, Irvin Roy Hentzel
Publication date: 25 July 2011
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.12.002
Related Items
Nilpotency of Commutative Finitely Generated Algebras Satisfying, On commutative finite-dimensional nilalgebras, Some results on the structure of a class of commutative power-associative nilalgebras of nilindex four, COMMUTATIVE JORDAN NILALGEBRAS OF NILINDEX 4 GENERATED BY AT MOST THREE ELEMENTS, On Jordan-Nilalgebras of Index 3, A CLASS OF LOCALLY NILPOTENT COMMUTATIVE ALGEBRAS, Bernstein algebras that are algebraic and the Kurosh problem
Cites Work
- Unnamed Item
- Unnamed Item
- Commutative finitely generated algebras satisfying \(((yx)x)x=0\) are solvable
- On a class of commutative power-associative nilalgebras
- On the solvability of the commutative power-associative nilalgebras of dimension 6.
- Nilpotent linear transformations and the solvability of power-associative nilalgebras
- On nilalgebras and linear varieties of nilpotent matrices. II
- Nilpotence of a class of commutative power-associative nilalgebras
- Commutative power-associative nilalgebras of nilindex 5
- SOLVABILITY OF COMMUTATIVE RIGHT-NILALGEBRAS SATISFYING (b(aa))a = b((aa)a)
- On Commutative Power-Associative Nilalgebras
- Commutative Finite-Dimensional Algebras Satisfyingx(x(xy)) = 0 are Nilpotent
- Degree four identities not implied by commutativity
- On Commutative Power-Associative Nilalgebras of Low Dimension
- ON LEFT NILALGEBRAS OF LEFT NILINDEX FOUR SATISFYING AN IDENTITY OF DEGREE FOUR
- Commutative Non-Associative Algebras and Identities of Degree Four
- Power-associative rings
- On the solvability of the five-dimensional commutative power-associative nilalgebras
