# Domestic iterated one-point extensions of algebras by two-ray modules

Grzegorz Bobiński; Andrzej Skowroński

Open Mathematics (2003)

- Volume: 1, Issue: 4, page 457-476
- ISSN: 2391-5455

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topGrzegorz Bobiński, and Andrzej Skowroński. "Domestic iterated one-point extensions of algebras by two-ray modules." Open Mathematics 1.4 (2003): 457-476. <http://eudml.org/doc/268930>.

@article{GrzegorzBobiński2003,

abstract = {In the paper, we introduce a wide class of domestic finite dimensional algebras over an algebraically closed field which are obtained from the hereditary algebras of Euclidean type , n≥1, by iterated one-point extensions by two-ray modules. We prove that these algebras are domestic and their Auslander-Reiten quivers admit infinitely many nonperiodic connected components with infinitely many orbits with respect to the action of the Auslander-Reiten translation. Moreover, we exhibit a wide class of almost sincere domestic simply connected algebras of large global dimensions.},

author = {Grzegorz Bobiński, Andrzej Skowroński},

journal = {Open Mathematics},

keywords = {16G20; 16G60; 16G70},

language = {eng},

number = {4},

pages = {457-476},

title = {Domestic iterated one-point extensions of algebras by two-ray modules},

url = {http://eudml.org/doc/268930},

volume = {1},

year = {2003},

}

TY - JOUR

AU - Grzegorz Bobiński

AU - Andrzej Skowroński

TI - Domestic iterated one-point extensions of algebras by two-ray modules

JO - Open Mathematics

PY - 2003

VL - 1

IS - 4

SP - 457

EP - 476

AB - In the paper, we introduce a wide class of domestic finite dimensional algebras over an algebraically closed field which are obtained from the hereditary algebras of Euclidean type , n≥1, by iterated one-point extensions by two-ray modules. We prove that these algebras are domestic and their Auslander-Reiten quivers admit infinitely many nonperiodic connected components with infinitely many orbits with respect to the action of the Auslander-Reiten translation. Moreover, we exhibit a wide class of almost sincere domestic simply connected algebras of large global dimensions.

LA - eng

KW - 16G20; 16G60; 16G70

UR - http://eudml.org/doc/268930

ER -

## References

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