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Inverse limits of rings and multiplier rings

Published online by Cambridge University Press:  05 September 2005

GERT K. PEDERSEN  and
FRANCESC PERERA
GERT K. PEDERSEN
Affiliation:
Department of Mathematics, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen Ø Denmark. e-mail: gkped@math.ku.dk
FRANCESC PERERA
Affiliation:
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain. e-mail: perera@mat.uab.es
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Abstract

It is proved that the exchange property, the Bass stable rank and the quasi-Bass property are all preserved under surjective inverse limits. This is then applied to multiplier rings by showing that these in many cases can be obtained as inverse limits.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 139 , Issue 2 , September 2005 , pp. 207 - 228
Copyright
2005 Cambridge Philosophical Society

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