Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type

• Published in: Algebra and Discrete Mathematics
• Date: 2015
• Main Authors: Asashiba, H., Kimura, M.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154249
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Derived equivalence classification of generalized multifold extensions of piecewise hereditary algebras of tree type / H. Asashiba, M. Kimura // Algebra and Discrete Mathematics. — 2015. — Vol. 19, № 2. — С. 145-161 . — Бібліогр.: 11 назв. — англ.

We give a derived equivalence classification of algebras of the form
 Ă/〈∅〉 for some piecewise hereditary algebra A
 of tree type and some automorphism ∅ of Ă such
 that ∅(A⁽⁰⁾)=A⁽ⁿ⁾ for some positive integer n.