Geodesic
On strict homological dimensions of algebras of continuous functions
Matematičeskie zametki, Tome 80 (2006) no. 5, pp. 757-769.

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We prove that, for each nonnegative integer $n$ and $n=\infty$, there exists a compact topological space $\Omega$ such that the strict global dimension and the strict bidimension of the Banach algebra $C(\Omega)$ of all continuous functions on $\Omega$ are equal to $n$. We also obtain several “additivity formulas” for the strict homological dimensions of strict Banach algebras. 
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S. B. Tabaldyev. On strict homological dimensions of algebras of continuous functions. Matematičeskie zametki, Tome 80 (2006) no. 5, pp. 757-769. http://geodesic.mathdoc.fr/item/MZM_2006_80_5_a10/

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