Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598469 | Linear Algebra and its Applications | 2016 | 23 Pages |
Abstract
In this paper, we will define a Euclidean-like norm and a division algorithm for a non-Noetherian Bézout domain, k[y]+x⋅k(y)[x]k[y]+x⋅k(y)[x], where k is a field. And we will show that the Euclidean algorithm for that domain always terminates. As its application, we will give an algorithm to find the normal form of any matrix in GL2(k[x,y])GL2(k[x,y]) over k, with respect to the amalgamated free product structure.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Hyukmin Kwon,