Krull-Gabriel dimension and Cantor-Bendixson rank of 1-domestic string algebras

Gena Puninski

Colloquium Mathematicae (2012)

  • Volume: 127, Issue: 2, page 185-211
  • ISSN: 0010-1354

Abstract

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We prove that the Krull-Gabriel dimension of the category of modules over any 1-domestic non-degenerate string algebra is 3.

How to cite

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Gena Puninski. "Krull-Gabriel dimension and Cantor-Bendixson rank of 1-domestic string algebras." Colloquium Mathematicae 127.2 (2012): 185-211. <http://eudml.org/doc/283649>.

@article{GenaPuninski2012,
abstract = {We prove that the Krull-Gabriel dimension of the category of modules over any 1-domestic non-degenerate string algebra is 3.},
author = {Gena Puninski},
journal = {Colloquium Mathematicae},
keywords = {pure injective modules; Ziegler spectrum; Cantor-Bendixson rank; Krull-Gabriel dimension; domestic string algebras; Schröer conjecture; categories of modules},
language = {eng},
number = {2},
pages = {185-211},
title = {Krull-Gabriel dimension and Cantor-Bendixson rank of 1-domestic string algebras},
url = {http://eudml.org/doc/283649},
volume = {127},
year = {2012},
}

TY - JOUR
AU - Gena Puninski
TI - Krull-Gabriel dimension and Cantor-Bendixson rank of 1-domestic string algebras
JO - Colloquium Mathematicae
PY - 2012
VL - 127
IS - 2
SP - 185
EP - 211
AB - We prove that the Krull-Gabriel dimension of the category of modules over any 1-domestic non-degenerate string algebra is 3.
LA - eng
KW - pure injective modules; Ziegler spectrum; Cantor-Bendixson rank; Krull-Gabriel dimension; domestic string algebras; Schröer conjecture; categories of modules
UR - http://eudml.org/doc/283649
ER -

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