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A note on Cohn's universal localisation at a semiprime ideal

Published online by Cambridge University Press:  17 April 2009

John A. Beachy
John A. Beachy
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115, United States of America
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The universal localisation RΓ(s) at a semiprime ideal S of a left Noetherian ring R was defined and studied by P. M. Cohn. In this note we investigate the interaction between the universal localisation RΓ(s), the Ore localisation at S, and the torsion-theoretic localisation at the injective envelope E(R/S) of the module R(R/S).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 3 , June 2004 , pp. 361 - 367
Copyright
Copyright © Australian Mathematical Society 2004

References

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