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On Global Dimensions of Tree Type Finite Dimensional Algebras

Published online by Cambridge University Press:  20 November 2018

Ruchen Hou
Ruchen Hou*
Affiliation:
Department of Mathematics and Information Science, Yantai University, Yantai, 264005, P. R. China e-mail: hourc@mail.ustc.edu.cn
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Abstract.

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A formula is provided to explicitly describe global dimensions of all kinds of tree type finite dimensional $k$-algebras for $k$ an algebraic closed field. In particular, it is pointed out that if the underlying tree type quiver has $n$ vertices, then the maximum global dimension is $n\,-\,1$.

Keywords

16D4016E1016G20global dimensiontree type finite dimensional k-algebraquiver
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 4 , 01 December 2014 , pp. 814 - 820
Copyright
Copyright © Canadian Mathematical Society 2014

References

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