Coherence of polynomial rings

Coherence of polynomial rings
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by B. V. Greenberg and W. V. Vasconcelos PDF

Proc. Amer. Math. Soc. 54 (1976), 59-64 Request permission

The main result is that $A[X]$, the polynomial ring in any number of indeterminates over a coherent ring $A$ of global dimension two, is coherent.

References

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Éléments de mathématique. Fasc

Algèbre commutative

Modules plats

Localisation

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Sur le théorème d’Auslander-Buchsbaum

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