• Title of article

    MINIMAL NONNILPOTENT LEIBNIZ ALGEBRAS

  • Author/Authors

    Bosko-Dunbar, Lindsey Mathematics Discipline St - Norbert College , Dunbar, Jonathan D. Mathematics Discipline St - Norbert College , Hird, J.T. Department of Mathematics - West Virginia University - Institute of Technology Beckley , Stagg Rovira, Kristen Department of Mathematics - California State University - Dominguez Hills Carson

  • Pages
    6
  • From page
    187
  • To page
    192
  • Abstract
    We classify all nonnilpotent, solvable Leibniz algebras with the property that all proper subalgebras are nilpotent. This generalizes the work of [E. L. Stitzinger, Proc. Amer. Math. Soc., 28(1)(1971), 47-49] and [D. Towers, Linear Algebra Appl., 32(1980), 61-73] in Lie algebras. We show several examples which illustrate the differences between the Lie and Leibniz results.
  • Keywords
    Nonnilpotent Leibniz algebra , solvable algebra , Lie algebra , maximal subalgebra , nilpotent subalgebra
  • Journal title
    International Electronic Journal of Algebra
  • Serial Year
    2020
  • Full Text URL
    dergipark.org.tr/en/download/article-file/1198552
  • Record number

    2599104

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2599104