Representation-tame locally hereditary algebras
Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 175-187.

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

Let A be a finite-dimensional algebra over an algebraically closed field. The algebra A is called locally hereditary if any local left ideal of A is projective. We give criteria, in terms of the Tits quadratic form, for a locally hereditary algebra to be of tame representation type. Moreover, the description of all representation-tame locally hereditary algebras is completed.
DOI : 10.4064/cm99-2-3
Mots-clés : finite dimensional algebra algebraically closed field algebra called locally hereditary local ideal projective criteria terms tits quadratic form locally hereditary algebra tame representation type moreover description representation tame locally hereditary algebras completed

Zbigniew Leszczyński 1

1 Faculty of Mathematics and Computer Science Nicolaus Copernicus University Chopina 12/18 87-100 Toruń, Poland
@article{10_4064_cm99_2_3,
     author = {Zbigniew Leszczy\'nski},
     title = {Representation-tame locally hereditary algebras},
     journal = {Colloquium Mathematicum},
     pages = {175--187},
     publisher = {mathdoc},
     volume = {99},
     number = {2},
     year = {2004},
     doi = {10.4064/cm99-2-3},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.4064/cm99-2-3/}
}
TY  - JOUR
AU  - Zbigniew Leszczyński
TI  - Representation-tame locally hereditary algebras
JO  - Colloquium Mathematicum
PY  - 2004
SP  - 175
EP  - 187
VL  - 99
IS  - 2
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/articles/10.4064/cm99-2-3/
DO  - 10.4064/cm99-2-3
LA  - en
ID  - 10_4064_cm99_2_3
ER  - 
%0 Journal Article
%A Zbigniew Leszczyński
%T Representation-tame locally hereditary algebras
%J Colloquium Mathematicum
%D 2004
%P 175-187
%V 99
%N 2
%I mathdoc
%U https://geodesic-test.mathdoc.fr/articles/10.4064/cm99-2-3/
%R 10.4064/cm99-2-3
%G en
%F 10_4064_cm99_2_3
Zbigniew Leszczyński. Representation-tame locally hereditary algebras. Colloquium Mathematicum, Tome 99 (2004) no. 2, pp. 175-187. doi : 10.4064/cm99-2-3. https://geodesic-test.mathdoc.fr/articles/10.4064/cm99-2-3/

Cité par Sources :