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Finiteness of the strong global dimension of radical square zero algebras

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

Open Mathematics

2004

tom 2

nr 1

103-111

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

1 Open Mathematics

1 Kerner O.

1 Skowroński A.

1 Yamagata K.

1 Zacharia D.

1 2004

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Finiteness of the strong global dimension of radical square zero algebras