Geodesic
Completion of Rectangular Matrices and Power-Free Modules
Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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We prove, in this article, that every finitely generated stably free R-module is power-free if and only if for any right invertible rectangular matrix ( a ij ) over R , there exists s ∈ ℕ such that ( a ij I s ) can be completed to an invertible matrix. Furthermore, we prove that every right invertible rectangular matrix over generalized stable, right repetitive rings can be completed in this way.
Classification : 16E50, 16U99. 
@article{BMMS_2010_33_1_a9,
     author = {Huanyin Chen},
     title = {Completion of {Rectangular} {Matrices} and {Power-Free} {Modules}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2010},
     volume = {33},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2010_33_1_a9/}
}
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%J Bulletin of the Malaysian Mathematical Society
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Huanyin Chen. Completion of Rectangular Matrices and Power-Free Modules. Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2010_33_1_a9/