nLab
tertiary radical

Third or tertiary radical of a (possibly noncommutative) unital ring has been studied in

  • L. Lesieur, Théorie noethérienne des anneaux non commutatifs : une propriété caractéristique des idéaux tertiaires, Séminaire Dubreil. Algèbre et théorie des nombres, 11 no. 2 (1957-1958), Exp. No. 14, 7 p. numdam
  • L. Lesieur, R. Croisot, Sur les anneaux premiers noethériens à gauche, Annales scientifiques de l’École Normale Supérieure, Sér. 3, 76 no. 3 (1959), p. 161-183, numdam; Algèbre nœthérienne non commutative, Mémorial des sciences mathématiques, 154 (1963), p. 1-119 numdam

where the tertiary decomposition theory has been introduced.

See also

  • Gerhard Michler, Goldman’s primary decomposition and the tertiary decomposition, J. Algebra 16, 1970 129–137 MR268218 doi A generalization of tertiary decomposition theory to a class of Grothendieck categories is in

  • Nicolae Popescu, An introduction to Abelian categories with applications to rings and modules, Acad. Press 1973

category: algebra

Last revised on February 26, 2014 at 09:11:08. See the history of this page for a list of all contributions to it.