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Modules with Finite Spanning Dimension

Published online by Cambridge University Press:  20 November 2018

K. M. Rangaswamy*
Affiliation:
Department of Mathematics, Institute of Advanced Studies, The Australian National University, Canberra A.C.T. 2600, Australia University of Papua New Guinea, Port Moresby Papua New Guinea
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Modules with finite spanning dimension were defined by P. Fleury [3] in an attempt to dualize the concept of Goldie dimension. In this note we study these modules in some detail, obtain an improved structure theorem for them and also extend the work done in [2] and [3]. Projective modules with finite spanning dimension turn out to be local or artinian.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1977