On hereditary artinian rings and the pure semisimplicity conjecture: rigid tilting modules and a weak conjecture

José L. García. "On hereditary artinian rings and the pure semisimplicity conjecture: rigid tilting modules and a weak conjecture." Colloquium Mathematicae 135.2 (2014): 227-262. <http://eudml.org/doc/283850>.

@article{JoséL2014,
abstract = {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.},
author = {José L. García},
journal = {Colloquium Mathematicae},
keywords = {pure semisimple rings; pure semisimplicity conjecture; finite representation type; tilting modules; direct sums of finitely generated modules; triangular matrix rings},
language = {eng},
number = {2},
pages = {227-262},
title = {On hereditary artinian rings and the pure semisimplicity conjecture: rigid tilting modules and a weak conjecture},
url = {http://eudml.org/doc/283850},
volume = {135},
year = {2014},
}

TY - JOUR
AU - José L. García
TI - On hereditary artinian rings and the pure semisimplicity conjecture: rigid tilting modules and a weak conjecture
JO - Colloquium Mathematicae
PY - 2014
VL - 135
IS - 2
SP - 227
EP - 262
AB - 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.
LA - eng
KW - pure semisimple rings; pure semisimplicity conjecture; finite representation type; tilting modules; direct sums of finitely generated modules; triangular matrix rings
UR - http://eudml.org/doc/283850
ER -