On cyclic vertices in valued translation quivers

Piotr Malicki

Colloquium Mathematicae (2006)

  • Volume: 105, Issue: 1, page 45-50
  • ISSN: 0010-1354

Abstract

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Let x and y be two vertices lying on an oriented cycle in a connected valued translation quiver (Γ,τ,δ). We prove that, under certain conditions, x and y belong to the same cyclic component of (Γ,τ,δ) if and only if there is an oriented cycle in (Γ,τ,δ) passing through x and y.

How to cite

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Piotr Malicki. "On cyclic vertices in valued translation quivers." Colloquium Mathematicae 105.1 (2006): 45-50. <http://eudml.org/doc/283842>.

@article{PiotrMalicki2006,
abstract = {Let x and y be two vertices lying on an oriented cycle in a connected valued translation quiver (Γ,τ,δ). We prove that, under certain conditions, x and y belong to the same cyclic component of (Γ,τ,δ) if and only if there is an oriented cycle in (Γ,τ,δ) passing through x and y.},
author = {Piotr Malicki},
journal = {Colloquium Mathematicae},
keywords = {translation quivers; cyclic components; sectional cycles},
language = {eng},
number = {1},
pages = {45-50},
title = {On cyclic vertices in valued translation quivers},
url = {http://eudml.org/doc/283842},
volume = {105},
year = {2006},
}

TY - JOUR
AU - Piotr Malicki
TI - On cyclic vertices in valued translation quivers
JO - Colloquium Mathematicae
PY - 2006
VL - 105
IS - 1
SP - 45
EP - 50
AB - Let x and y be two vertices lying on an oriented cycle in a connected valued translation quiver (Γ,τ,δ). We prove that, under certain conditions, x and y belong to the same cyclic component of (Γ,τ,δ) if and only if there is an oriented cycle in (Γ,τ,δ) passing through x and y.
LA - eng
KW - translation quivers; cyclic components; sectional cycles
UR - http://eudml.org/doc/283842
ER -

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