{"created":"2021-03-01T07:07:38.871952+00:00","id":29183,"links":{},"metadata":{"_buckets":{"deposit":"3c00c3e9-d942-43ac-be65-de466b212cd9"},"_deposit":{"id":"29183","owners":[],"pid":{"revision_id":0,"type":"depid","value":"29183"},"status":"published"},"_oai":{"id":"oai:tsukuba.repo.nii.ac.jp:00029183","sets":["117:473","3:62:5591:2034"]},"item_5_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2013-04","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"4","bibliographicPageStart":"1350030","bibliographicVolumeNumber":"24","bibliographic_titles":[{"bibliographic_title":"International journal of mathematics"}]}]},"item_5_creator_3":{"attribute_name":"著者別名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"増岡, 彰"}],"nameIdentifiers":[{},{},{}]}]},"item_5_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Realizing the possibility suggested by Hardouin [Iterative q-difference Galois theory, J. Reine Angew. Math.644 (2010) 101–144], we show that her own Picard–Vessiot (PV) theory for iterative q-difference rings is covered by the (consequently, more general) framework, settled by Amano and Masuoka [Picard–Vessiot extensions of artinian simple module algebras, J. Algebra285 (2005) 743–767], of artinian simple module algebras over a cocommutative pointed Hopf algebra. An essential point is to represent iterative q-difference modules over an iterative q-difference ring R, by modules over a certain cocommutative ×R-bialgebra. Recall that the notion of ×R-bialgebras was defined by Sweedler [Groups of simple algebras, Publ. Math. Inst. Hautes Études Sci.44 (1974) 79–189], as a generalization of bialgebras.","subitem_description_type":"Abstract"}]},"item_5_identifier_34":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2241/119461"}]},"item_5_publisher_27":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"World Scientific Publishing Company"}]},"item_5_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1142/S0129167X13500304","subitem_relation_type_select":"DOI"}}]},"item_5_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"©World Scientific Publishing Company."},{"subitem_rights":"This is an electronic version of an article published as AKIRA MASUOKA and MAKOTO YANAGAWA, Int. J. Math. 24, 1350030 (2013) [27 pages] DOI: 10.1142/S0129167X13500304, available at http://www.worldscientific.com/worldscinet/ijm."}]},"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":"0129-167X","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":"AA10754794","subitem_source_identifier_type":"NCID"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"MASUOKA, AKIRA"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"YANAGAWA, MAKOTO"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2013-12-25"}],"displaytype":"detail","filename":"IJM_24-4.pdf","filesize":[{"value":"171.8 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"IJM_24-4.pdf","url":"https://tsukuba.repo.nii.ac.jp/record/29183/files/IJM_24-4.pdf"},"version_id":"16f2cb7e-c879-4c19-ba0d-52c7c913e4b9"}]},"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":"×R-BIALGEBRAS ASSOCIATED WITH ITERATIVE q-DIFFERENCE RINGS","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"×R-BIALGEBRAS ASSOCIATED WITH ITERATIVE q-DIFFERENCE RINGS"}]},"item_type_id":"5","owner":"1","path":["473","2034"],"pubdate":{"attribute_name":"公開日","attribute_value":"2013-07-03"},"publish_date":"2013-07-03","publish_status":"0","recid":"29183","relation_version_is_last":true,"title":["×R-BIALGEBRAS ASSOCIATED WITH ITERATIVE q-DIFFERENCE RINGS"],"weko_creator_id":"1","weko_shared_id":5},"updated":"2022-04-27T08:57:20.503284+00:00"}