Thesis
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | 권혁민 | - |
| dc.date.accessioned | 2018-10-17T05:04:18Z | - |
| dc.date.available | 2018-10-17T05:04:18Z | - |
| dc.date.issued | 2017 | - |
| dc.identifier.other | OAK-2015-07531 | - |
| dc.identifier.uri | http://postech.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000002329005 | ko_KR |
| dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/92943 | - |
| dc.description | Doctor | - |
| dc.description.abstract | In this dissertation, we will define a Euclidean-like norm and a division algorithm for a non-Noetherian Bézout domain, 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]) over k, with respect to the amalgamated free product structure. | - |
| dc.language | eng | - |
| dc.publisher | 포항공과대학교 | - |
| dc.title | Terminating Euclidean algorithm for a non-Noetherian Bézout domain and an algorithm to find the normal forms of matrices in GL2(k[x,y]) | - |
| dc.type | Thesis | - |
| dc.contributor.college | 일반대학원 수학과 | - |
| dc.date.degree | 2017- 2 | - |
| dc.type.docType | Thesis | - |
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