On Global Dimensions of Tree Type Finite Dimensional Algebras
Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 814-820

Voir la notice de l'article provenant de la source Cambridge University Press

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 $n\,-\,1$ .
DOI : 10.4153/CMB-2014-035-9
Mots-clés : 16D40, 16E10, 16G20, global dimension, tree type finite dimensional k-algebra, quiver
Hou, Ruchen. On Global Dimensions of Tree Type Finite Dimensional Algebras. Canadian mathematical bulletin, Tome 57 (2014) no. 4, pp. 814-820. doi: 10.4153/CMB-2014-035-9
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