{"created":"2023-06-19T10:35:08.661530+00:00","id":1089,"links":{},"metadata":{"_buckets":{"deposit":"8d8c3a29-d887-462b-8821-05dd0422e164"},"_deposit":{"created_by":14,"id":"1089","owners":[14],"pid":{"revision_id":0,"type":"depid","value":"1089"},"status":"published"},"_oai":{"id":"oai:ous.repo.nii.ac.jp:00001089","sets":["296:314:328"]},"author_link":["11260","11261"],"item_1_biblio_info_14":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1995-03-31","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"5","bibliographicPageStart":"1","bibliographicVolumeNumber":"30","bibliographic_titles":[{"bibliographic_title":"岡山理科大学紀要. A, 自然科学","bibliographic_titleLang":"ja"},{"bibliographic_title":"Bulletin of Okayama University of Science. A, Natural Sciences","bibliographic_titleLang":"en"}]}]},"item_1_creator_6":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"吉田, 憲一","creatorNameLang":"ja"},{"creatorName":"ヨシダ, ケンイチ","creatorNameLang":"ja-Kana"},{"creatorName":"Yoshida, Ken-ichi","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"織田, 進","creatorNameLang":"ja"},{"creatorName":"オダ, ススム","creatorNameLang":"ja-Kana"},{"creatorName":"Oda, Susumu","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_1_description_1":{"attribute_name":"ページ属性","attribute_value_mlt":[{"subitem_description":"P(論文)","subitem_description_type":"Other"}]},"item_1_description_12":{"attribute_name":"抄録(英)","attribute_value_mlt":[{"subitem_description":"In what follows, all rings considered are commutative with identity. We say that a ring A is a Hilbert ring if each prime ideal of A is an intersection of maximal ideals of R. It is known that a k-affine domain over a field k is a Hilbert ring ([G, (31.11)]). We say that a ring A is a catenary ring if the following condition is satisfied : for any prime ideals p and q of A with p⊆q, then exists a saturated chain of prime ideals starting from p and ending at q, and all such chains have the same (finite) length. We say that a ring A is a universally catenary ring if A is Noetherian and every finitely generated A-algebra is catenary. Let k be a field and R a K-affine domain. Then R is Noetherian, Hilbert and catenary. Moreover dim R_m=Tr.deg_kR<+∞ for each maximal ideal m of R. Our objective in this paper is to investigate integral domains having these properties. Throughout this paper, k denotes a field and R an integral domain containing k and K(R) denotes the quotient field of R unless otherwise specified. Any unexplained terminology is standard, as in [M], [N].","subitem_description_language":"en","subitem_description_type":"Other"}]},"item_1_source_id_13":{"attribute_name":"雑誌書誌ID","attribute_value_mlt":[{"subitem_source_identifier":"AN00033244","subitem_source_identifier_type":"NCID"}]},"item_1_text_10":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Department of Applied Mathematics, Okayama University of Science"},{"subitem_text_language":"en","subitem_text_value":"Uji-Yamada High School"}]},"item_1_text_9":{"attribute_name":"著者所属(日)","attribute_value_mlt":[{"subitem_text_language":"ja","subitem_text_value":"岡山理科大学応用数学科"},{"subitem_text_language":"ja","subitem_text_value":"宇治山田高校"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"1995-03-31"}],"displaytype":"detail","filename":"KJ00000063598.pdf","filesize":[{"value":"264.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"url":"https://ous.repo.nii.ac.jp/record/1089/files/KJ00000063598.pdf"},"version_id":"f27e4d82-ec1c-4f5f-a721-05abe01e8a46"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"On Pseudo-Affine Domains","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"On Pseudo-Affine Domains","subitem_title_language":"ja"},{"subitem_title":"On Pseudo-Affine Domains","subitem_title_language":"en"}]},"item_type_id":"1","owner":"14","path":["328"],"pubdate":{"attribute_name":"PubDate","attribute_value":"1995-03-31"},"publish_date":"1995-03-31","publish_status":"0","recid":"1089","relation_version_is_last":true,"title":["On Pseudo-Affine Domains"],"weko_creator_id":"14","weko_shared_id":-1},"updated":"2023-09-28T04:51:18.956219+00:00"}