Geodesic
Direct sums of semi-projective modules
Derya Keskin Tütüncü1 ; Berke Kaleboğaz1 ; Patrick F. Smith2
1 Department of Mathematics Hacettepe University 06800 Beytepe, Ankara, Turkey
2 Department of Mathematics Glasgow University Glasgow G12 8QW, Scotland
Colloquium Mathematicum, Tome 127 (2012) no. 1, pp. 67-81 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We investigate when the direct sum of semi-projective modules is semi-projective. It is proved that if $R$ is a right Ore domain with right quotient division ring $Q \not =R$ and $X$ is a free right $R$-module then the right $R$-module $Q \oplus X$ is semi-projective if and only if there does not exist an $R$-epimorphism from $X$ to $Q$.
DOI : 10.4064/cm127-1-5
Keywords: investigate direct sum semi projective modules semi projective proved right ore domain right quotient division ring right r module right r module oplus semi projective only there does exist r epimorphism

Derya Keskin Tütüncü 1 ; Berke Kaleboğaz 1 ; Patrick F. Smith 2

1 Department of Mathematics Hacettepe University 06800 Beytepe, Ankara, Turkey
2 Department of Mathematics Glasgow University Glasgow G12 8QW, Scotland 
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Derya Keskin Tütüncü; Berke Kaleboğaz; Patrick F. Smith. Direct sums of semi-projective modules. Colloquium Mathematicum, Tome 127 (2012) no. 1, pp. 67-81. doi: 10.4064/cm127-1-5

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