Geodesic
Pure-minimal chain complexes
Christensen, Lars Winther1 ; Thompson, Peder2
1 Texas Tech University, Lubbock, USA
2 Texas Tech University, Lubbock, USA and The Norwegian University of Science and Technology (NTNU), Trondheim, Norway
Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 41-67

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

We introduce a notion of pure-minimality for chain complexes of modules and show that it coincides with (homotopic) minimality in standard settings, while being a more useful notion for complexes of flat modules. As applications, we characterize von Neumann regular rings and left perfect rings.

Publié le :
DOI : 10.4171/RSMUP/29
Classification : 16, 00
Mots-clés : Pure-minimal chain complex, flat dimension, perfect ring

Christensen, Lars Winther 1 ; Thompson, Peder 2

1 Texas Tech University, Lubbock, USA
2 Texas Tech University, Lubbock, USA and The Norwegian University of Science and Technology (NTNU), Trondheim, Norway 
@article{RSMUP_2019__142__41_0,
     author = {Christensen, Lars Winther and Thompson, Peder},
     title = {Pure-minimal chain complexes},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {41--67},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {142},
     year = {2019},
     doi = {10.4171/RSMUP/29},
     mrnumber = {4032803},
     zbl = {1454.16001},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/29/}
}
TY  - JOUR
AU  - Christensen, Lars Winther
AU  - Thompson, Peder
TI  - Pure-minimal chain complexes
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2019
SP  - 41
EP  - 67
VL  - 142
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/29/
DO  - 10.4171/RSMUP/29
ID  - RSMUP_2019__142__41_0
ER  - 
%0 Journal Article
%A Christensen, Lars Winther
%A Thompson, Peder
%T Pure-minimal chain complexes
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2019
%P 41-67
%V 142
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://geodesic.mathdoc.fr/articles/10.4171/RSMUP/29/
%R 10.4171/RSMUP/29
%F RSMUP_2019__142__41_0
Christensen, Lars Winther; Thompson, Peder. Pure-minimal chain complexes. Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 41-67. doi: 10.4171/RSMUP/29

Cité par Sources :