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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
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Abstract

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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