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A STUDY OF UNIFORM ONE-SIDED IDEALS IN SIMPLE RINGS

Published online by Cambridge University Press:  01 September 2007

JOHN CLARK
Affiliation:
Department of Mathematics and Statistics, University of Otago, PO Box 56, Dunedin, New Zealand e-mail: jclark@maths.otago.ac.nz
DINH VAN HUYNH
Affiliation:
Department of Mathematics, Ohio University, Athens, Ohio 45701, USA e-mail: huynh@math.ohiou.edu
Corresponding
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Abstract

Using a variation on the concept of a CS module, we describe exactly when a simple ring is isomorphic to a ring of matrices over a Bézout domain. Our techniques are then applied to characterise simple rings which are right and left Goldie, right and left semihereditary.

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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