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