A counterexample to the unimodular conjecture on finitely generated dimension groups
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- by Norbert Riedel PDF
- Proc. Amer. Math. Soc. 83 (1981), 11-15 Request permission
Abstract:
We give a series of examples of simple finitely generated dimension groups which cannot be obtained as the inductive limit of a system \[ \mathbf {Z}^r \stackrel {A_1}{\rightarrow } \mathbf {Z}^r \stackrel {A_2}{\rightarrow } \cdots \mathbf {Z}^r \stackrel {A_n}{\rightarrow } \cdots , \] where each $A_{n}$ is a unimodular matrix whose entries are nonnegative integers.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 11-15
- MSC: Primary 06F20; Secondary 10F10, 46L99
- DOI: https://doi.org/10.1090/S0002-9939-1981-0619970-X
- MathSciNet review: 619970