Illinois Journal of Mathematics

Stability of the divisor class group upon completion

Dana Weston

Full-text: Open access

Abstract

If $A$ is a local, normal approximation domain with finite divisor class group, then $Cl(A) \cong Cl(\widehat{A})$.

Article information

Source
Illinois J. Math., Volume 51, Number 1 (2007), 313-323.

Dates
First available in Project Euclid: 20 November 2009

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1258735338

Digital Object Identifier
doi:10.1215/ijm/1258735338

Mathematical Reviews number (MathSciNet)
MR2346200

Zentralblatt MATH identifier
1128.13005

Subjects
Primary: 13C20: Class groups [See also 11R29]
Secondary: 13J10: Complete rings, completion [See also 13B35]

Citation

Weston, Dana. Stability of the divisor class group upon completion. Illinois J. Math. 51 (2007), no. 1, 313--323. doi:10.1215/ijm/1258735338. https://projecteuclid.org/euclid.ijm/1258735338


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