Finiteness of the strong global dimension of radical square zero algebras

• Autorzy: Otto Kerner , Andrzej Skowroński , Kunio Yamagata , Dan Zacharia
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

strong global dimension; repetitive algebra; local support-finiteness; piecewise hereditary algebra; radical square zero algebra; Primary 16D50; 16E10; 18E30; Secondary 16G10

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2004
• Tom: 2
• Numer: 1
• Strony: 103-111

Daty

wydano

2004-03-01

online

2004-03-01

Twórcy

autor

Otto Kerner

• Heinrich-Heine Universität

autor

Andrzej Skowroński

• Nicolaus Copernicus University

autor

Kunio Yamagata

• Tokyo University of Agriculture and Technology

autor

Dan Zacharia

• Syracuse University

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Identyfikatory

DOI

10.2478/BF02475954