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D-Index & Metrics

Mathematics

D-Index
51
Citations
10960
World Ranking
1023
National Ranking
474

Overview

Ken R. Goodearl is affiliated with the University of California, Santa Barbara in the United States. Their research primarily spans the fields of Mathematics and Computer Science, with a focus on Algebra and Number Theory, Geometry and Topology, and Computational Theory and Mathematics. Within these areas, the scientist explores topics related to Algebraic structures and combinatorial models, Advanced Topics in Algebra, Rings, Modules, and Algebras, and Commutative Algebra and Its Applications, among others.

Their recent papers include:

  • Cluster algebra structures on Poisson nilpotent algebras, 2023, Memoirs of the American Mathematical Society
  • Integral quantum cluster structures, 2021, Duke Mathematical Journal
  • Integral quantum cluster structures, 2020, arXiv (Cornell University)
  • Catenarity in quantum nilpotent algebras, 2020, Proceedings of the American Mathematical Society Series B
  • Catenarity in quantum nilpotent algebras, 2020, arXiv (Cornell University)

The scientist has collaborated frequently with several co-authors, including Pere Ara, Enrique Pardo, and Francesc Perera, each with five joint publications. Additional co-authors include Milen Yakimov and Stéphane Launois, both with three collaborative works.

Ken R. Goodearl's publications are often found in venues such as arXiv (Cornell University), where they have six papers, the Journal of Algebra with three papers, Contemporary Mathematics - American Mathematical Society with two papers, as well as the Memoirs of the American Mathematical Society and Duke Mathematical Journal.

The body of work covers advanced topics including:

  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Rings, Modules, and Algebras
  • Commutative Algebra and Its Applications
  • Advanced Algebra and Logic
  • Advanced Algebra and Geometry
  • Semigroups and automata theory

The research focuses on foundational and structural aspects of algebra and related fields, contributing to the understanding of quantum cluster structures, Poisson algebras, and properties such as catenarity in quantum nilpotent algebras.

Best Publications

  • An introduction to noncommutative noetherian rings

    K. R. Goodearl;Robert B. Warfield

  • Von Neumann regular rings

    K. R. Goodearl

  • Lectures on Algebraic Quantum Groups

    Ken A. Brown;Ken R. Goodearl

  • Partially ordered abelian groups with interpolation

    Kenneth R. Goodearl

  • Separative cancellation for projective modules over exchange rings

    Pare Ara;K.R. Goodearl;K.C. O'Meara;E. Pardo

  • Prime ideals in skew polynomial rings and quantized Weyl algebras

    K.R. Goodearl

  • Notes on real and complex C[*]-algebras

    K. R. Goodearl

  • The Dixmier-Moeglin equivalence in quantum coordinate rings and quantized Weyl algebras

    K. Goodearl;E. Letzter

  • Singular torsion and the splitting properties

    Unknown

  • Prime factor algebras of the coordinate ring of quantum matrices

    K. R. Goodearl;E. S. Letzter

  • Algebras over zero-dimensional rings

    K. R. Goodearl;R. B. WarfieldJr.

  • Stable range one for rings with many units

    K.R. Goodearl;P. Menal

  • Leavitt path algebras of separated graphs

    Pere Ara;Kenneth R. Goodearl

  • Homological Aspects of Noetherian PI Hopf Algebras and Irreducible Modules of Maximal Dimension

    K.A. Brown;K.R. Goodearl

  • K0 of purely infinite simple regular rings

    P. Ara;K. R. Goodearl;E. Pardo

  • Prime ideals in skew and q-skew polynomial rings

    K. R. Goodearl;E. S. Letzter

  • Catenarity in quantum algebras

    K.R. Goodearl;T.H. Lenagan

  • Rank functions and K0 of regular rings

    Unknown

  • Diagonalization of matrices over regular rings

    Pere Ara;K.R. Goodearl;K.C. O'Meara;E. Pardo

  • Notes on a class of simple $C^*$-algebras with real rank zero

    Kenneth Ralph Goodearl

  • Quantum determinantal ideals

    K. R. Goodearl;T. H. Lenagan

  • Uniform rank over differential operator rings and Poincaré-Birkhoff-Witt extensions

    Allen Davis Bell;Kenneth R. Goodearl

Frequent Co-Authors

James J. Zhang
James J. Zhang University of Washington
J. T. Stafford
J. T. Stafford University of Manchester

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