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Year 2018, Volume: 24 Issue: 24 , 12 - 17 , 05.07.2018

Karl A. Kosler

https://doi.org/10.24330/ieja.440130
https://izlik.org/JA48LN89FS

Abstract

References

  • 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.

A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS

Year 2018, Volume: 24 Issue: 24 , 12 - 17 , 05.07.2018

Karl A. Kosler

https://doi.org/10.24330/ieja.440130
https://izlik.org/JA48LN89FS

Abstract

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

Keywords

Fully semiprimary linked prime ideal

References

  • 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.
There are 8 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Karl A. Kosler This is me

Publication Date July 5, 2018
DOI https://doi.org/10.24330/ieja.440130
IZ https://izlik.org/JA48LN89FS
Published in Issue Year 2018 Volume: 24 Issue: 24

Cite

APA Kosler, K. A. (2018). A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS. International Electronic Journal of Algebra, 24(24), 12-17. https://doi.org/10.24330/ieja.440130
AMA 1.Kosler KA. A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS. IEJA. 2018;24(24):12-17. doi:10.24330/ieja.440130
Chicago Kosler, Karl A. 2018. “A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS”. International Electronic Journal of Algebra 24 (24): 12-17. https://doi.org/10.24330/ieja.440130.
EndNote Kosler KA (July 1, 2018) A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS. International Electronic Journal of Algebra 24 24 12–17.
IEEE [1]K. A. Kosler, “A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS”, IEJA, vol. 24, no. 24, pp. 12–17, July 2018, doi: 10.24330/ieja.440130.
ISNAD Kosler, Karl A. “A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS”. International Electronic Journal of Algebra 24/24 (July 1, 2018): 12-17. https://doi.org/10.24330/ieja.440130.
JAMA 1.Kosler KA. A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS. IEJA. 2018;24:12–17.
MLA Kosler, Karl A. “A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS”. International Electronic Journal of Algebra, vol. 24, no. 24, July 2018, pp. 12-17, doi:10.24330/ieja.440130.
Vancouver 1.Karl A. Kosler. A RESULT ON THE INCOMPARABILITY OF LINKED PRIME IDEALS. IEJA. 2018 Jul. 1;24(24):12-7. doi:10.24330/ieja.440130