Wyniki wyszukiwania

1

Endomorphism rings of regular modules over wild hereditary algebras

100%

Kerner O.

Colloquium Mathematicum

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2003

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tom 97

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nr 2

207-220

EN

Let H be a connected wild hereditary path algebra. We prove that if Z is a quasi-simple regular brick, and [r]Z indecomposable regular of quasi-length r and with quasi-top Z, then $rad^{r}End_{H}([r]Z) = 0$.

2

Wild tilted algebras revisited

100%

Kerner O.

Colloquium Mathematicum

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1997

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tom 73

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nr 1

67-81

3

Finiteness of the strong global dimension of radical square zero algebras

51%

Kerner O., Skowroński A., Yamagata K., Zacharia D.

Open Mathematics

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2004

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tom 2

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nr 1

103-111

EN

The strong global dimension of a finite dimensional algebra A is the maximum of the width of indecomposable bounded differential complexes of finite dimensional projective A-modules. We prove that the strong global dimension of a finite dimensional radical square zero algebra A over an algebraically closed field is finite if and only if A is piecewise hereditary. Moreover, we discuss results concerning the finiteness of the strong global dimension of algebras and the related problem on the density of the push-down functors associated to the canonical Galois coverings of the trivial extensions of algebras by their repetitive algebras.

Ograniczanie wyników

2 Colloquium Mathematicum

1 Open Mathematics

3 Kerner O.

1 Skowroński A.

1 Yamagata K.

1 Zacharia D.

1 2004

1 2003

1 1997

Endomorphism rings of regular modules over wild hereditary algebras

Wild tilted algebras revisited

Finiteness of the strong global dimension of radical square zero algebras