{"created":"2021-03-01T07:12:40.905681+00:00","id":33878,"links":{},"metadata":{"_buckets":{"deposit":"0b00631e-68f1-490b-8f84-002b6620bb8c"},"_deposit":{"id":"33878","owners":[],"pid":{"revision_id":0,"type":"depid","value":"33878"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00033878","sets":["117:1194","3:62:5592:3078"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2015-09","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"7","bibliographicPageStart":"1550100","bibliographicVolumeNumber":"14","bibliographic_titles":[{"bibliographic_title":"Journal of algebra and its applications"}]}]},"item_5_creator_3":{"attribute_name":"著者別名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"星野, 光男"}],"nameIdentifiers":[{},{},{}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let I be a nontrivial finite multiplicative group with the unit element e and A = ⨁x∈I Ax an I-graded ring. We construct a Frobenius extension Λ of A and study when the ring extension A of Ae can be a Frobenius extension. Also, formulating the ring structure of Λ, we introduce the notion of I-bigraded rings and show that every I-bigraded ring is isomorphic to the I-bigraded ring Λ constructed above.","subitem_description_type":"Abstract"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"World Scientific"}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1142/S0219498815501005","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Electronic version of an article published as Journal of algebra and its applications, 14, 7, 2015, 1550100,  10.1142/S0219498815501005  ©World Scientific Publishing Company, http://www.worldscientific.com/worldscinet/jaa"}]},"item_5_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_5_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0219-4988","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11646389","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hoshino, Mitsuo"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Kameyama, Noritsugu"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Koga, Hirotaka"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2016-10-01"}],"displaytype":"detail","filename":"JAA_14-7.pdf","filesize":[{"value":"128.6 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"JAA_14-7","url":"https://tsukuba.repo.nii.ac.jp/record/33878/files/JAA_14-7.pdf"},"version_id":"2878b6bd-ed20-49ba-9c6a-36be1f0c91db"}]},"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":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Group-graded and group-bigraded rings","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Group-graded and group-bigraded rings"}]},"item_type_id":"5","owner":"1","path":["1194","3078"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-06-10"},"publish_date":"2015-06-10","publish_status":"0","recid":"33878","relation_version_is_last":true,"title":["Group-graded and group-bigraded rings"],"weko_creator_id":"1","weko_shared_id":5},"updated":"2022-04-27T09:57:56.041156+00:00"}