Abstract
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.
Publisher
Canadian Mathematical Society
Cited by
13 articles.
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1. On modules with chain condition on non-small submodules;International Electronic Journal of Algebra;2022-10-27
2. The Zariski covering number for vector spaces and modules;Communications in Algebra;2021-11-11
3. On F-Z-hollow and Z-semihollow modules;Journal of Discrete Mathematical Sciences and Cryptography;2021-10-03
4. ON THE NOTION OF STRONG IRREDUCIBILITY AND ITS DUAL;Journal of Algebra and Its Applications;2013-05-09
5. Coranks of a quasi-projective module and its endomorphism ring;Glasgow Mathematical Journal;1994-09