{"created":"2023-06-19T10:29:58.981051+00:00","id":10093,"links":{},"metadata":{"_buckets":{"deposit":"2406a1ce-1b29-4693-a026-5b3ec33eaff7"},"_deposit":{"created_by":18,"id":"10093","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"10093"},"status":"published"},"_oai":{"id":"oai:muroran-it.repo.nii.ac.jp:00010093","sets":["216:302","46"]},"author_link":["18135"],"item_79_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-10-15","bibliographicIssueDateType":"Issued"},"bibliographicVolumeNumber":"355","bibliographic_titles":[{"bibliographic_title":"Advances in Mathematics","bibliographic_titleLang":"en"}]}]},"item_79_description_23":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_79_description_7":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let G be a finite group, and let A be a finite abelian G-group. For each subgroup H of G, Ω(H;A) denotes the ring of monomial representations of H with coefficients in A, which is a generalization of the Burnside ring Ω(H) of H. We research the multiplicative induction map Ω(H;A) → Ω(G;A) derived from the tensor induction map Ω(H) → Ω(G), and also research the unit group of Ω(G;A). The results are explained in terms of the first cohomology groups H1(K;A) for K ≤ G. We see that tensor induction for 1-cocycles plays a crucial role in a description of multiplicative induction. The unit group of Ω(G;A) is identified as a finitely generated abelian group. We especially study the group of torsion units of Ω(G;A), and study the unit group of Ω(G) as well.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_79_link_17":{"attribute_name":"出版者版へのリンク","attribute_value_mlt":[{"subitem_link_text":"10.1016/j.aim.2019.106768","subitem_link_url":"https://doi.org/10.1016/j.aim.2019.106768"}]},"item_79_link_5":{"attribute_name":"室蘭工業大学研究者データベースへのリンク","attribute_value_mlt":[{"subitem_link_text":"竹ケ原 裕元(TAKEGAHARA Yugen)","subitem_link_url":"http://rdsoran.muroran-it.ac.jp/html/100000217_ja.html"}]},"item_79_publisher_11":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier","subitem_publisher_language":"en"}]},"item_79_relation_18":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"10.1016/j.aim.2019.106768","subitem_relation_type_select":"DOI"}}]},"item_79_rights_19":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"© 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/","subitem_rights_language":"en"}]},"item_79_source_id_12":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0001-8708","subitem_source_identifier_type":"PISSN"}]},"item_79_source_id_14":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA00513055","subitem_source_identifier_type":"NCID"}]},"item_79_subject_9":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"410","subitem_subject_scheme":"NDC"}]},"item_79_version_type_21":{"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_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{}],"affiliationNames":[{},{}]}],"creatorNames":[{"creatorName":"TAKEGAHARA,  Yugen","creatorNameLang":"en"},{"creatorName":"竹ケ原, 裕元","creatorNameLang":"ja"},{"creatorName":"タケガハラ, ユウゲン","creatorNameLang":"ja-Kana"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-10-15"}],"displaytype":"detail","filename":"AM_355_106768.pdf","filesize":[{"value":"285.0 kB"}],"format":"application/pdf","licensetype":"license_5","mimetype":"application/pdf","url":{"label":"AM_355_106768","objectType":"fulltext","url":"https://muroran-it.repo.nii.ac.jp/record/10093/files/AM_355_106768.pdf"},"version_id":"e79c4e75-3b5d-42b4-8bad-32deaf9bfbc7"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Burnside ring","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Cocycle","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Idempotent","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Monomial Burnside ring","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Tensor induction","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Unit","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"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":"Multiplicative induction and units for the ring of monomial representations","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Multiplicative induction and units for the ring of monomial representations","subitem_title_language":"en"}]},"item_type_id":"79","owner":"18","path":["46","302"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2019-11-12"},"publish_date":"2019-11-12","publish_status":"0","recid":"10093","relation_version_is_last":true,"title":["Multiplicative induction and units for the ring of monomial representations"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2023-10-23T08:57:40.208856+00:00"}