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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  and
DINH VAN HUYNH
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
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Abstract

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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.

Keywords

Primary 16D3016D7016P60

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 49 , Issue 3 , September 2007 , pp. 489 - 495
Copyright
Copyright © Glasgow Mathematical Journal Trust 2007

References

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