A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS
It is shown that linked prime ideals in certain fully semiprimary Noetherian ring are incomparable.
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- 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.