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On selfinjective algebras without short cycles in the component quiver

100%

Karpicz M.

Colloquium Mathematicum

2011

tom 123

nr 2

219-232

We give a complete description of all finite-dimensional selfinjective algebras over an algebraically closed field whose component quiver has no short cycles.

The vanishing of self-extensions over n-symmetric algebras of quasitilted type

63%

Karpicz M., Purin M.

Colloquium Mathematicum

2014

tom 136

nr 1

99-108

A ring Λ satisfies the Generalized Auslander-Reiten Condition (𝖦 𝖠 𝖱 𝖢) if for each Λ-module M with $Ext^{i}(M,M⊕ Λ) = 0$ for all i > n the projective dimension of M is at most n. We prove that this condition is satisfied by all n-symmetric algebras of quasitilted type.

Ograniczanie wyników

2 Colloquium Mathematicum

2 Karpicz M.

1 Purin M.

1 2014

1 2011

Wyniki wyszukiwania

On selfinjective algebras without short cycles in the component quiver

The vanishing of self-extensions over n-symmetric algebras of quasitilted type