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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_cm127_1_5,
     author = {Derya Keskin T\"ut\"unc\"u and Berke Kalebo\u{g}az and Patrick F. Smith},
     title = {Direct sums of semi-projective modules},
     journal = {Colloquium Mathematicum},
     pages = {67--81},
     publisher = {mathdoc},
     volume = {127},
     number = {1},
     year = {2012},
     doi = {10.4064/cm127-1-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm127-1-5/}
}
TY  - JOUR
AU  - Derya Keskin Tütüncü
AU  - Berke Kaleboğaz
AU  - Patrick F. Smith
TI  - Direct sums of semi-projective modules
JO  - Colloquium Mathematicum
PY  - 2012
SP  - 67
EP  - 81
VL  - 127
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm127-1-5/
DO  - 10.4064/cm127-1-5
LA  - en
ID  - 10_4064_cm127_1_5
ER  - 
%0 Journal Article
%A Derya Keskin Tütüncü
%A Berke Kaleboğaz
%A Patrick F. Smith
%T Direct sums of semi-projective modules
%J Colloquium Mathematicum
%D 2012
%P 67-81
%V 127
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm127-1-5/
%R 10.4064/cm127-1-5
%G en
%F 10_4064_cm127_1_5
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. http://geodesic.mathdoc.fr/articles/10.4064/cm127-1-5/

Cité par Sources :