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Commutative absolute subretracts

Part of: Modules, bimodules and ideals

Published online by Cambridge University Press:  09 April 2009

E. Jespers  and
M. M. Parmenter
E. Jespers
Affiliation:
Department of Mathematics and StatisticsMemorial University of NewfoundlandSt. John's, NewfoundlandCanadaA1C 5S7
M. M. Parmenter
Affiliation:
Department of Mathematics and StatisticsMemorial University of NewfoundlandSt. John's, NewfoundlandCanadaA1C 5S7
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Abstract

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Directly indecomposable absolute subretracts that are commutative Noetherian rings are described. This is an application of our main result characterizing unital directly indecomposable absolute subretracts which contain a maximal ideal with nonzero annihilator.

MSC classification

Secondary: 16D50: Injective modules, self-injective rings
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 54 , Issue 1 , February 1993 , pp. 128 - 132
Copyright
Copyright © Australian Mathematical Society 1993

References

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