Geodesic
On global cohomological width of artin algebras
Chao Zhang1
1 Department of Mathematics Guizhou University Guiyang 550025, P.R. China and Faculty of Mathematics Bielefeld University 33501 Bielefeld, Germany
Colloquium Mathematicum, Tome 146 (2017) no. 1, pp. 31-46

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the global cohomological width of artin algebras. Using the construction of indecomposable objects in the triangulated category via taking cones due to Happel and Zacharia (2008), we establish that global cohomological width coincides with strong global dimension. Moreover, an upper bound for the global cohomological width of piecewise hereditary algebras is obtained. As an application, we construct finite-dimensional piecewise hereditary algebras of type $\mathbb {A}$ and $\mathbb {D}$ with global cohomological width an arbitrary positive integer $m$. Finally, we find a relation between recollements and global cohomological width.
DOI : 10.4064/cm6714-10-2015
Keywords: study global cohomological width artin algebras using construction indecomposable objects triangulated category via taking cones due happel zacharia establish global cohomological width coincides strong global dimension moreover upper bound global cohomological width piecewise hereditary algebras obtained application construct finite dimensional piecewise hereditary algebras type mathbb mathbb global cohomological width arbitrary positive integer finally relation between recollements global cohomological width

Chao Zhang 1

1 Department of Mathematics Guizhou University Guiyang 550025, P.R. China and Faculty of Mathematics Bielefeld University 33501 Bielefeld, Germany 
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Chao Zhang. On global cohomological width of artin algebras. Colloquium Mathematicum, Tome 146 (2017) no. 1, pp. 31-46. doi: 10.4064/cm6714-10-2015

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