Artículos Publicados:

 

1997:
  1. Jordan Canonical Form for Finite Rank Elements in Jordan Algebras.
1998:
  1. Goldie theorems for Associative Pairs.
  1. Local Rings of Exchange Rings.
1999:
2001:
  1. Exchange Morita Rings.
2002:
  1. Quotient Rings and Fountain-Gould Left Orders by the Local Approach.
2003:
2004:
  1. Left, Right and inner Socles of associative Systems.
  1. Left quotients associative pairs and Morita invariant properties.
  1. Morita Invariance and Maximal Left Quotient Rings.
  1. 3-Graded  Lie Algebras With Jordan Finiteness Conditions.
  1. Jordan-Systems of Martindale-Like Quotients.
  1. Maximal Algebras of Martindale-like Quotients of strongly prime Linear Jordan Algebras.
  1. The Jordan Socle and Finitary Lie Algebras.
2005:
  1. Polynomial Identities and Speciality of Martindale-like Covers of Jordan Algebras.
  1. The Maximal left Quotients Rings of Alternative Rings.
2006:
  1. Inner Ideals of Finitary Simple Lie Algebras.
  1. Fountain-Gould Left Orders for Associative Pairs.
  1. Jordan Centers and Martindale-like Covers.
  1. Center, Centroid, Extended Centroid and Quotients in Jordan Systems.
2007:
  1. The Jordan Algebras of a Lie Algebra.
  1. An elemental Characterization of Strong Primeness in Lie Algebras.
  1. Left Quotient Rings of Alternative Rings.
  1. A Construction of Gradings of Lie Algebras
2008:
  1. The Socle of a Nondegenerate Lie Algebras.
  1. An Artinian Theory for Lie Algebras.
  1. Local Rings of Rings of Quotients.
2009:
  1. Inner Ideal Structure of Nearly Artinian Lie Algebras.
  1. A Note on a Result of Kostrikin
2010:
2011:
  1. Nondegeneracy for Lie Triple Systems and Kantor Pairs.
  1. Characterizations of the Kostrikin Radical of a Lie Algebra.
2012:
  1. A Radical for Graded Lie Algebras.
  1. Principal Filtrations of Lie algebras.
  1. The Inner Ideals of the Classical Lie Algebras, Related Gradings and Jordan Pairs.
2013:
  1. Quotients in Graded Lie Algebras. Martindale-Like Quotients For Kantor Pairs and Lie Triple Systems.
2014:
  1. An Elemental Characterization of Orthogonal Ideals in Lie Algebras.
  1. On Quotient Rings in Alternative Rings.
2016:
  1. Prime Quotients of Jordan Systems and Lie Algebras.
  1. Inner ideals of Lie algebras of skew elements of prime rings with involution.
  1. Jordan algebras at Jordan elements of semiprime rings with involution.
2017:
  1. Clifford elements in Lie algebras
2019:
  1. A Jordan canonical form for nilpotent elements in an arbitrary ring.
2020:
  1. Jordan Structures associated to Lie super-algebras.
  1. On the speciality of jordan algebras and subquotients of Lie algebras.
2021:
  1. A description of ad-nilpotent elements in Lie algebras arising from semiprime rings with involution (1T, 2C).
2022:
  1. Decompositions of matrices into potent and square-zero matrices (2T, 3C).
  1. Ad-nilpotent elements of skew index in semiprime rings with involution (1T, 2C).
  1. Nilpotent superderivations in prime superalgebras (1T, 2C).
  1. Decompositions of Matrices into Diagonalizable and Square-Zero Matrices (1T, 2C).
2023:
  1. Gradings induced by nilpotent elements (1T, 2C).
  1. A filtration associated to an abelian inner ideal of a Lie algebra (1T, 1C).
  1. Decompositions of Endomorphisms Into a Sum of Roots of the Unity and Nilpotent Endomorphisms of Fixed Nilpotence (1T, 2C ).
  1. Decompositions of Matrices into a Sum of Invertible Matrices and Matrices of Fixed Nilpotence. (2T, 3C ).
2024:


 

Miguel Ángel Gómez Lozano