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Communications in Algebra Volume 32, 2004 - Issue 6
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Original Articles

On Commutative Power-Associative Nilalgebras

J. Carlos Gutiérrez Fernández Departamento de Matemáticas-IME, Universidade de São Paulo, São Paulo, Brazil; Departamento de Matemáticas-IME, Universidade de São Paulo, Rua do Matão 1010, São Paulo, SP, 05315-970, BrazilCorrespondence[email protected]
Pages 2243-2250 | Received 01 Sep 2002, Accepted 01 Sep 2003, Published online: 18 Aug 2006

Citations (17)

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Read on this site (6)

A. Behn, Ivan Correa, Juan C. Gutierrez Fernandez & C. I. Garcia. (2021) About nilalgebras satisfying (xy)2 = x2y2. Communications in Algebra 49:9, pages 3708-3719.
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JuanC. Gutierrez Fernandez, ClaudiaI. Garcia, José Ignacio Martinez & M.L. R. Montoya. (2014) On Power-Associative Nilalgebras of Dimension N and Nilindex N-1. Communications in Algebra 42:10, pages 4481-4497.
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JuanC. Gutierrez Fernandez, A. Grishkov, MaryL. R. Montoya & LuciaS. I. Murakami. (2011) Commutative Power-Associative Algebras of Nilindex Four. Communications in Algebra 39:9, pages 3151-3165.
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JuanC. Gutiérrez Fernández. (2009) Commutative Finite-Dimensional Algebras Satisfying x(x(xy)) = 0 are Nilpotent. Communications in Algebra 37:10, pages 3760-3776.
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Alberto Elduque & Alicia Labra. (2008) On the Classification of Commutative Right-Nilalgebras of Nilindex 5 and Dimension 4. Communications in Algebra 36:5, pages 1704-1716.
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Alberto Elduque & Alicia Labra. (2007) On the Classification of Commutative Right-Nilalgebras of Dimension at Most Four. Communications in Algebra 35:2, pages 577-588.
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Articles from other publishers (11)

J. C. Gutierrez Fernandez, A. Grishkov & E. O. Quintero Vanegas. (2022) On power-associative modules. Journal of Algebra and Its Applications 22:10.
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Elkin Oveimar Quintero Vanegas. (2023) On Albert Problem and Irreducible Modules. Mathematics 11:18, pages 3866.
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L. S. I. Murakami, L. A. Peresi & I. P. Shestakov. (2021) A retrospect of the research in nonassociative algebras in IME-USP. São Paulo Journal of Mathematical Sciences 16:1, pages 84-130.
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Elkin Oveimar Quintero Vanegas. (2021) Embedding of $$\mathfrak {sl}_2({\mathbb {C}})$$-Modules into Four-Dimensional Power-Associative Zero-Algebra Modules. Bulletin of the Brazilian Mathematical Society, New Series 53:1, pages 343-355.
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Manuel Arenas. (2021) The space of invariant bilinear forms of the polarization algebra of a polynomial endomorphism: An approach to the problem of Albert. Journal of Algebra 573, pages 1-15.
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Ualbai Umirbaev. (2019) Polarization algebras and their relations. Journal of Commutative Algebra 11:3.
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E.O. Quintero Vanegas & Juan C. Gutierrez Fernandez. (2018) Power associative nilalgebras of dimension 9. Journal of Algebra 495, pages 233-263.
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E.O. Quintero Vanegas & Juan C. Gutierrez Fernandez. (2017) Nilpotent linear spaces and Albert's Problem. Linear Algebra and its Applications 518, pages 57-78.
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Juan C. Gutierrez Fernandez & Claudia I. Garcia. (2016) On commutative finite-dimensional nilalgebras. São Paulo Journal of Mathematical Sciences 10:1, pages 104-121.
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Ivan Correa, Irvin Roy Hentzel & Alicia Labra. (2011) Nilpotency of commutative finitely generated algebras satisfying , . Journal of Algebra 330:1, pages 48-59.
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J. Carlos Gutierrez Fernandez & Avelino Suazo. (2013) Commutative Power-Associative Nilalgebras of Nilindex 5. Results in Mathematics 47:3-4, pages 296-304.
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