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

• Autorzy: Grzegorz Bobiński , Andrzej Skowroński
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

domestic algebra; simply connected algebra; Auslander-Reiten quiver; vector space category; 16G20; 16G60; 16G70

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2003
• Tom: 1
• Numer: 4
• Strony: 457-476

Daty

wydano

2003-12-01

online

2003-12-01

Twórcy

autor

Grzegorz Bobiński

• Nicolaus Copernicus University

autor

Andrzej Skowroński

• Nicolaus Copernicus University

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475179