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MONOLITHIC MODULES OVER NOETHERIAN RINGS

Published online by Cambridge University Press:  01 August 2011

PAULA A. A. B. CARVALHO  and
IAN M. MUSSON
PAULA A. A. B. CARVALHO
Affiliation:
Departamento de Matemática, Faculdade de Ciências, Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal e-mail: pbcarval@fc.up.pt
IAN M. MUSSON
Affiliation:
University of Wisconsin-Milwaukee, PO Box 413, Milwaukee, WI 53201USA e-mail: musson@csd.uwm.edu
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Abstract

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We study finiteness conditions on essential extensions of simple modules over the quantum plane, the quantised Weyl algebra and Noetherian down-up algebras. The results achieved improve the ones obtained by Carvalho et al. (Carvalho et al., Injective modules over down-up algebras, Glasgow Math. J. 52A (2010), 53–59) for down-up algebras.

Keywords

16E7016P40
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 3 , September 2011 , pp. 683 - 692
Copyright
Copyright © Glasgow Mathematical Journal Trust 2011

References

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