Krull–Gabriel dimension and Cantor–Bendixson
rank of 1-domestic string algebras
Colloquium Mathematicum, Tome 127 (2012) no. 2, pp. 185-211
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We prove that the Krull–Gabriel dimension of the category of modules over any $1$-domestic non-degenerate string algebra is $3$.
Keywords:
prove krull gabriel dimension category modules domestic non degenerate string algebra
Affiliations des auteurs :
Gena Puninski 1
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author = {Gena Puninski},
title = {Krull{\textendash}Gabriel dimension and {Cantor{\textendash}Bendixson
} rank of 1-domestic string algebras},
journal = {Colloquium Mathematicum},
pages = {185--211},
publisher = {mathdoc},
volume = {127},
number = {2},
year = {2012},
doi = {10.4064/cm127-2-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm127-2-4/}
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TY - JOUR AU - Gena Puninski TI - Krull–Gabriel dimension and Cantor–Bendixson rank of 1-domestic string algebras JO - Colloquium Mathematicum PY - 2012 SP - 185 EP - 211 VL - 127 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm127-2-4/ DO - 10.4064/cm127-2-4 LA - en ID - 10_4064_cm127_2_4 ER -
Gena Puninski. Krull–Gabriel dimension and Cantor–Bendixson rank of 1-domestic string algebras. Colloquium Mathematicum, Tome 127 (2012) no. 2, pp. 185-211. doi: 10.4064/cm127-2-4
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