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

100%

Bobiński G., Skowroński A.

Open Mathematics

2003

tom 1

nr 4

457-476

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.

On a family of vector space categories

84%

Bobiński G., Skowroński A.

Open Mathematics

2003

tom 1

nr 3

332-359

In continuation of our earlier work [2] we describe the indecomposable representations and the Auslander-Reiten quivers of a family of vector space categories playing an important role in the study of domestic finite dimensional algebras over an algebraically closed field. The main results of the paper are applied in our paper [3] where we exhibit a wide class of almost sincere domestic simply connected algebras of arbitrary large finite global dimensions and describe their Auslander-Reiten quivers.

Ograniczanie wyników

2 Open Mathematics

2 Bobiński G.

2 Skowroński A.

2 2003

Wyniki wyszukiwania

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

On a family of vector space categories