Let A be a Noetherian ring and a,b, a regular sequence such that the ideals aA and $aA+bA$ are prime; then the divisor class group $Cl(A[X,Y]/(aX+bY))$ splits into the direct sum ${\bbfZ}\oplus Cl(A)$. Some partial results are also true in the non noetherian case.

On regular sequences of length 2

ROGGERO, Margherita
1987-01-01

Abstract

Let A be a Noetherian ring and a,b, a regular sequence such that the ideals aA and $aA+bA$ are prime; then the divisor class group $Cl(A[X,Y]/(aX+bY))$ splits into the direct sum ${\bbfZ}\oplus Cl(A)$. Some partial results are also true in the non noetherian case.
1987
XIV (4)
83
87
Noetherian ring, divisor class group
Chiara Martinengo; Margherita Roggero
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/104274
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