You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
The Class Group of Dedekind Domains
C. R. Leedham-Green
Transactions of the American Mathematical Society
Vol. 163 (Jan., 1972), pp. 493-500
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1995734
Page Count: 8
You can always find the topics here!Topics: Algebra, Mathematical rings, Algebraic conjugates, Mathematical theorems, Logical proofs, Cardinal points, Integers, Quotients, Fractions, Arithmetic
Were these topics helpful?See something inaccurate? Let us know!
Select the topics that are inaccurate.
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
A new proof is given of Claborn's theorem, namely that every abelian group is the class group of a Dedekind domain. A variation of the proof shows that the Dedekind domain can be constructed to be a quadratic extension of a principal ideal ring; a Dedekind domain is also constructed that is unrelated in a certain sense to any principal ideal ring.
Transactions of the American Mathematical Society © 1972 American Mathematical Society