Hostname: page-component-77c89778f8-rkxrd Total loading time: 0 Render date: 2024-07-17T07:58:13.231Z Has data issue: false hasContentIssue false
  • English
  • Français

On Localization at an Ideal

Published online by Cambridge University Press:  20 November 2018

John A. Beachy
John A. Beachy*
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois 60115
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Conditions are given under which the ring of quotients defined by an ideal is semisimple Artinian modulo its Jacobson radical.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 22 , Issue 4 , 01 December 1979 , pp. 397 - 401
Copyright
Copyright © Canadian Mathematical Society 1979

References

1. Beachy, John A. and Blair, William D., Localization at semiprime ideals, J. Algebra 38 (1976), 309-314.Google Scholar
2. Heinicke, A. G., On the ring of quotients at a prime ideal of a right Noetherian ring, Can. J. Math. 24 (1972), 703-712.Google Scholar
3. Lambek, Joachim and Michler, Gerhard, The torsion theory at a prime ideal of a right Noetherian ring, J. Algebra 25 (1973), 364-389.Google Scholar
4. Lambek, Joachim and Michler, Gerhard, Localization of right Noetherian rings at semiprime ideals, Can. J. Math. 26 (1974), 1069-1085.Google Scholar
5. Stenström, Bo, Rings of Quotients, Springer-Verlag (New York, Heidelberg, Berlin), 1975.Google Scholar