Geodesic
On hereditary artinian rings and the pure semisimplicity conjecture: rigid tilting modules and a weak conjecture
José L. García1
1 Department of Mathematics University of Murcia 30100 Murcia, Spain
Colloquium Mathematicum, Tome 135 (2014) no. 2, pp. 227-262.

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

A weak form of the pure semisimplicity conjecture is introduced and characterized through properties of matrices over division rings. The step from this weak conjecture to the full pure semisimplicity conjecture would be covered by proving that there do not exist counterexamples to the conjecture in a particular class of rings, which is also studied.
DOI : 10.4064/cm135-2-6
Keywords: weak form pure semisimplicity conjecture introduced characterized through properties matrices division rings step weak conjecture full pure semisimplicity conjecture would covered proving there exist counterexamples conjecture particular class rings which studied

José L. García 1

1 Department of Mathematics University of Murcia 30100 Murcia, Spain 
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 rigid tilting modules and a weak conjecture},
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José L. García. On hereditary artinian rings and the
 pure semisimplicity conjecture:
 rigid tilting modules and a weak conjecture. Colloquium Mathematicum, Tome 135 (2014) no. 2, pp. 227-262. doi : 10.4064/cm135-2-6. http://geodesic.mathdoc.fr/articles/10.4064/cm135-2-6/

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