Finiteness of the strong global dimension of radical square zero algebras
Finiteness of the strong global dimension of radical square zero algebras
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DOI：
10.2478/bf02475954
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发表时间：
2004-03
影响因子：
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通讯作者：
O. Kerner;A. Skowroński;K. Yamagata;D. Zacharia
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文献类型：
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作者：
O. Kerner;A. Skowroński;K. Yamagata;D. Zacharia
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.
