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Reflexive ideals and injective modules over Noetherian v-H orders

Published online by Cambridge University Press:  20 January 2009

K. A. Brown ,
A. Haghany  and
T. H. Lenagan
K. A. Brown
Affiliation:
Department of MathematicsUniversity Of GlasgowGlasgow G12 8QWScotland
A. Haghany
Affiliation:
Department of MathematicsIsfahan University of TechnologyIsfahan, Iran
T. H. Lenagan
Affiliation:
Department of MathematicsUniversity Of EdinburghKing's BuildingsEdinburgh EH9 3JZScotland
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Abstract

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The class of prime Noetherian v-H orders is a class of Noetherian prime rings including the commutative integrally closed Noetherian domains, and the hereditary Noetherian prime rings, and designed to mimic the latter at the level of height one primes. We continue recent work on the structure of indecomposable injective modules over Noetherian rings by describing the structure of such a module E over a prime Noetherian v-H order R in the case where the assassinator P of E is a reflexive prime ideal. This description is then applied to a problem in torsion theory, so generalising work of Beck, Chamarie and Fossum.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 34 , Issue 1 , February 1991 , pp. 31 - 43
Copyright
Copyright © Edinburgh Mathematical Society 1991

References

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