Artículos Publicados:

 

1997:
  1. Jordan Canonical Form for Finite Rank Elements in Jordan Algebras.
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1998:
  1. Goldie theorems for Associative Pairs.
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  1. Local Rings of Exchange Rings.
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1999:
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2001:
  1. Exchange Morita Rings.
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2002:
  1. Quotient Rings and Fountain-Gould Left Orders by the Local Approach.
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2003:
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2004:
  1. Left, Right and inner Socles of associative Systems.
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  1. Left quotients associative pairs and Morita invariant properties.
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  1. Morita Invariance and Maximal Left Quotient Rings.
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  1. 3-Graded  Lie Algebras With Jordan Finiteness Conditions.
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  1. Jordan-Systems of Martindale-Like Quotients.
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  1. Maximal Algebras of Martindale-like Quotients of strongly prime Linear Jordan Algebras.
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  1. The Jordan Socle and Finitary Lie Algebras.
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2005:
  1. Polynomial Identities and Speciality of Martindale-like Covers of Jordan Algebras.
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  1. The Maximal left Quotients Rings of Alternative Rings.
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2006:
  1. Inner Ideals of Finitary Simple Lie Algebras.
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  1. Fountain-Gould Left Orders for Associative Pairs.
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  1. Jordan Centers and Martindale-like Covers.
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  1. Center, Centroid, Extended Centroid and Quotients in Jordan Systems.
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2007:
  1. The Jordan Algebras of a Lie Algebra.
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  1. An elemental Characterization of Strong Primeness in Lie Algebras.
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  1. Left Quotient Rings of Alternative Rings.
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  1. A Construction of Gradings of Lie Algebras
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2008:
  1. The Socle of a Nondegenerate Lie Algebras.
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  1. An Artinian Theory for Lie Algebras.
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  1. Local Rings of Rings of Quotients.
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2009:
  1. Inner Ideal Structure of Nearly Artinian Lie Algebras.
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  1. A Note on a Result of Kostrikin
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2010:
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2011:
  1. Nondegeneracy for Lie Triple Systems and Kantor Pairs.
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  1. Characterizations of the Kostrikin Radical of a Lie Algebra.
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2012:
  1. A Radical for Graded Lie Algebras.
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  1. Principal Filtrations of Lie algebras.
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  1. The Inner Ideals of the Simple Finite Dimensional Lie Algebras.
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2013:
  1. Quotients in Graded Lie Algebras. Martindale-Like Quotients For Kantor Pairs and Lie Triple Systems.
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2014:
  1. An Elemental Characterization of Orthogonal Ideals in Lie Algebras.
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  1. On Quotient Rings in Alternative Rings.
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2016:
  1. Prime Quotients of Jordan Systems and Lie Algebras.
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  1. Inner ideals of Lie algebras of skew elements of prime rings with involution.
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  1. Jordan algebras at Jordan elements of semiprime rings with involution.
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2017:
  1. Clifford elements in Lie algebras
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2019:
  1. A Jordan canonical form for nilpotent elements in an arbitrary ring.
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2020:
  1. Jordan supersystems related to Lie superalgebras.
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  1. On the speciality of jordan algebras and subquotients of Lie algebras.
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2021:
  1. A description of ad-nilpotent elements in Lie algebras arising from semiprime rings with involution.
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2022:
  1. Decompositions of matrices into potent and square-zero matrices.
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  1. Ad-nilpotent elements of skew index in semiprime rings with involution.
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  1. Nilpotent superderivations in prime superalgebras.
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  1. Decompositions of Matrices into Diagonalizable and Square-Zero Matrices.
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2023:
  1. Gradings induced by nilpotent elements.
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  1. A filtration associated to an abelian inner ideal of a Lie algebra.
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  1. Decompositions of Endomorphisms Into a Sum of Roots of the Unity and Nilpotent Endomorphisms of Fixed Nilpotence.
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  1. Decompositions of Matrices into a Sum of Invertible Matrices and Matrices of Fixed Nilpotence.
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2024:


 

Miguel Ángel Gómez Lozano