Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593420 | Journal of Number Theory | 2016 | 10 Pages |
Abstract
In this paper, we prove that there exists an indecomposable lattice of rank 5 over a Hasse domain of any rational function field in which −1 is not a square, which solves a problem proposed by Gerstein. We also construct three concrete indecomposable lattices of rank 6 and rank 5 over a Hasse domain of the rational function field F7(x)F7(x).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Ruiqing Wang,