Geodesic
Test modules for flatness
Alizade, Rafail1 ; Durğun, Yilmaz2
1 Yaşar University, IZMIR, TURKEY
2 Universität Zürich, ZÜRICH, SWITZERLAND
Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 75-91

Voir la notice de l'article provenant de la source Numdam

A right R-module M is said to be a test module for flatness (shortly: an f-test module) provided for each left R-module N, Tor(M,N)=0 implies N is flat. f-test modules are flat version of the Whitehead test modules for injectivity defined by Trlifaj. In this paper the properties of f-test modules are investigated and are used to characterize various families of rings. The structure of a ring over which every (finitely generated) right R-module is flat or f-test is investigated. Abelian groups that are Whitehead test modules for injectivity or f-test are characterized.

DOI : 10.4171/RSMUP/137-4
Classification : 16, 18
Mots-clés : Whitehead test modules, f-test modules, $p$-indigent modules, flat modules, fully saturated rings

Alizade, Rafail 1 ; Durğun, Yilmaz 2

1 Yaşar University, IZMIR, TURKEY
2 Universität Zürich, ZÜRICH, SWITZERLAND 
@article{RSMUP_2017__137__75_0,
     author = {Alizade, Rafail and Dur\u{g}un, Yilmaz},
     title = {Test modules for flatness},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {75--91},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {137},
     year = {2017},
     doi = {10.4171/RSMUP/137-4},
     mrnumber = {3652869},
     zbl = {1382.16002},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/137-4/}
}
TY  - JOUR
AU  - Alizade, Rafail
AU  - Durğun, Yilmaz
TI  - Test modules for flatness
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2017
SP  - 75
EP  - 91
VL  - 137
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/137-4/
DO  - 10.4171/RSMUP/137-4
ID  - RSMUP_2017__137__75_0
ER  - 
%0 Journal Article
%A Alizade, Rafail
%A Durğun, Yilmaz
%T Test modules for flatness
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2017
%P 75-91
%V 137
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/137-4/
%R 10.4171/RSMUP/137-4
%F RSMUP_2017__137__75_0
Alizade, Rafail; Durğun, Yilmaz. Test modules for flatness. Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 75-91. doi: 10.4171/RSMUP/137-4

Cité par Sources :