-
- DAHAN, XAVIER
- GRADUATE SCHOOL OF GENERAL EDUCATIONAL RESEARCH, OCHANOMIZU UNIVERSITY
Bibliographic Information
- Other Title
-
- 三角形である準素成分を持つ辞書式順序グレブナー基底について (Computer Algebra --Theory and its Applications)
- 三角形である準素成分を持つ辞書式順序グレブナー基底について
- サンカクケイ デ アル ジュンソ セイブン オ モツ ジショシキ ジュンジョ グレブナー キテイ ニ ツイテ
Search this article
Description
Let g be a minimal lexicographic Griibner basis (lexGb) of a zero-dimensional I. Assume that all the primary components of I have a lexGb that is a triangular set. This note explains that the strong properties known about g when I is a radical ideal, also hold in this case. These properties are: (1) a reconstruction of the basis g from that of the primary components by a generalization of the Chinese Reminder Theorem, (2) the factorization pattern of the polynomials in g and (3) the stability property under specialization maps.
Journal
-
- RIMS Kokyuroku
-
RIMS Kokyuroku 2138 30-33, 2019-12
京都大学数理解析研究所
- Tweet
Details 詳細情報について
-
- CRID
- 1050285700355829120
-
- NII Article ID
- 120006888167
-
- NII Book ID
- AN00061013
-
- ISSN
- 18802818
-
- HANDLE
- 2433/254880
-
- NDL BIB ID
- 030233290
-
- Text Lang
- ja
-
- Article Type
- departmental bulletin paper
-
- Data Source
-
- IRDB
- NDL
- CiNii Articles