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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access March 1, 2004

Finiteness of the strong global dimension of radical square zero algebras

  • Otto Kerner EMAIL logo , Andrzej Skowroński , Kunio Yamagata and Dan Zacharia
From the journal Open Mathematics

Abstract

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.

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Published Online: 2004-3-1
Published in Print: 2004-3-1

© 2004 Versita Warsaw

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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