{"created":"2023-05-15T10:38:07.213567+00:00","id":9,"links":{},"metadata":{"_buckets":{"deposit":"5f58acdb-fd5c-49c2-a982-788903a40d9a"},"_deposit":{"created_by":12,"id":"9","owners":[12],"pid":{"revision_id":0,"type":"depid","value":"9"},"status":"published"},"_oai":{"id":"oai:kobeyakka.repo.nii.ac.jp:00000009","sets":["4:5:17"]},"author_link":["12"],"item_10002_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2006-03-31","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"42","bibliographicPageStart":"29","bibliographicVolumeNumber":"7","bibliographic_titles":[{"bibliographic_title":"神戸薬科大学研究論集 : Libra"},{"bibliographic_title":"The journal of Kobe Pharmaceutical University in humanities and mathematics","bibliographic_titleLang":"en"}]}]},"item_10002_description_5":{"attribute_name":"内容記述","attribute_value_mlt":[{"subitem_description":"正値2次格子はさまざまな観点から研究されており、そのひとつとして、与えられた長さ(qとする)をもつベクトルから生成された格子(q-格子と呼ばれる)の研究がある.有理整数環や実2次体の整数環上の正値2-格子は完全に分類されており、所謂ルート系の話と表裏一体をなす。虚2次体の整数環上の正値エルミート格子についても分類は終っている。また、実2次体の整数環上の正値ノルム2や3-格子についても考察されている。ここでは、q=3の場合、つまり有理整数環上の3-格子について考察する。この場合、ほとんど結果が知られていないように思われる。まず、3-格子の既約分解に関する定理を与え、2つのタイプの既約3-格子の分類に帰着されることを示す。次に低次元の既約3-格子の分類を与える。残念ながら、一般次元についての結果は未だ得られていない。","subitem_description_type":"Other"}]},"item_10002_description_6":{"attribute_name":"内容記述（英）","attribute_value_mlt":[{"subitem_description":"A positive definite integral lattice is called a q-lattice if it is generated by some vectors of length q. All 2-lattices are well known, but it seems that we know little result when q>2. In this paper we will investigate the decomposition of 3-lattices and study some examples.","subitem_description_type":"Other"}]},"item_10002_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"神戸薬科大学"}]},"item_10002_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11519213","subitem_source_identifier_type":"NCID"}]},"item_10002_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13452568","subitem_source_identifier_type":"ISSN"}]},"item_10002_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"味村, 良雄"},{"creatorName":"ミムラ, ヨシオ","creatorNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"12","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"80034718","nameIdentifierScheme":"KAKEN - 研究者検索","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/nrid/1000080034718/"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2013-10-25"}],"displaytype":"detail","filename":"7 mimura2.pdf","filesize":[{"value":"404.0 kB"}],"format":"application/pdf","licensetype":"license_11","mimetype":"application/pdf","url":{"label":"L07029","url":"https://kobeyakka.repo.nii.ac.jp/record/9/files/7 mimura2.pdf"},"version_id":"59b59e3a-de4f-488a-883c-26a38edc3042"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"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":"3-格子について","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"3-格子について"},{"subitem_title":"On 3-lattices","subitem_title_language":"en"}]},"item_type_id":"10002","owner":"12","path":["17"],"pubdate":{"attribute_name":"公開日","attribute_value":"2013-10-25"},"publish_date":"2013-10-25","publish_status":"0","recid":"9","relation_version_is_last":true,"title":["3-格子について"],"weko_creator_id":"12","weko_shared_id":12},"updated":"2023-05-15T10:52:01.228803+00:00"}