A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS

It is shown that linked prime ideals in certain fully semiprimary Noetherian ring are incomparable.

___

  • K. R. Goodearl and R. B. War eld, Jr., An Introduction to Noncommuta- tive Noetherian Rings, London Mathematical Society Student Texts, 16, Cam- bridge University Press, Cambridge, 1989.
  • A. V. Jategaonkar, Noetherian bimodules, primary decomposition and Jacob- son's conjecture, J. Algebra, 71(2) (1981), 379-400.
  • A. V. Jategaonkar, Solvable Lie algebras, polycyclic-by- nite groups, and bi- module Krull dimension, Comm. Algebra, 10(1) (1982), 19-69.
  • A. V. Jategaonkar, Localization in Noetherian Rings, London Mathematical Society Lecture Note Series, 98, Cambridge University Press, Cambridge, 1986.
  • K. A. Kosler, On symmetric radicals over fully semiprimary Noetherian rings, J. Algebra Appl., 2(3) (2003), 351-364.
  • J. C. McConnell and J. C. Robson, Noncommutative Noetherian Rings, Pure and Applied Mathematics (New York), A Wiley-Interscience Publication, John Wiley & Sons, Ltd., Chichester, 1987.
  • T. Stafford, On the ideals of a Noetherian ring, Trans. Amer. Math. Soc., 289(1) (1985), 381-392.
  • [R. Vyas, A homological reformulation of the link condition, J. Algebra, 394 (2013), 223-244.