{"created":"2023-05-15T12:31:09.145010+00:00","id":712,"links":{},"metadata":{"_buckets":{"deposit":"cc8b7926-95f5-4bcb-83b4-94c2b5d8920b"},"_deposit":{"created_by":6,"id":"712","owners":[6],"pid":{"revision_id":0,"type":"depid","value":"712"},"status":"published"},"_oai":{"id":"oai:fit.repo.nii.ac.jp:00000712","sets":["256:257:374"]},"author_link":["3309","3306","3318","3308","3317","3307"],"item_3_alternative_title_23":{"attribute_name":"タイトル（ヨミ）","attribute_value_mlt":[{"subitem_alternative_title":"ｎ ヘンスウ タコウシキ ガ ヘイ カ イナ カ オ ハンテイ スル アルゴリズム ニ ツイテ"}]},"item_3_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1995-10-16","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"128","bibliographicPageStart":"121","bibliographicVolumeNumber":"28","bibliographic_titles":[{"bibliographic_title":"福岡工業大学研究論集"},{"bibliographic_title":"RESEARCH BULLETIN OF FUKUOKA INSTITUTE OF TECHNOLOGY","bibliographic_titleLang":"en"}]}]},"item_3_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_3_description_47":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"論文(Article)","subitem_description_type":"Other"}]},"item_3_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"Let R=k[x₁, x₂,…,xn ] denote the ring of all polynomials in n variables with coefficients in a field k. A polynomial I is called closed when there does not exist a polynomial gin R such that k[f] c k[g] c R. This paper gives an Algorithm for testing whether / is closed or not when k has characteristic zero. Moreover if / is not closed then we can compute g such that k[f] c k[g] c R from this Algorithm. 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