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MONOLITHIC MODULES OVER NOETHERIAN RINGS
PAULA A. A. B. CARVALHO, IAN M. MUSSON
Journal:

Glasgow Mathematical Journal / Volume 53 / Issue 3 / September 2011

Published online by Cambridge University Press:

01 August 2011, pp. 683-692

Print publication:

September 2011
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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.