{"created":"2021-03-01T06:31:41.206113+00:00","id":23805,"links":{},"metadata":{"_buckets":{"deposit":"7ad0e55b-fc21-4cbc-81db-ffff81605fb1"},"_deposit":{"id":"23805","owners":[],"pid":{"revision_id":0,"type":"depid","value":"23805"},"status":"published"},"_oai":{"id":"oai:nagoya.repo.nii.ac.jp:00023805","sets":["697:698:699"]},"author_link":["70623","70624"],"item_10_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2017-02","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"286","bibliographicPageStart":"251","bibliographicVolumeNumber":"285","bibliographic_titles":[{"bibliographic_title":"Mathematische Zeitschrift"}]}]},"item_10_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let X be a resolving subcategory of an abelian category. In this paper we investigate the singularity category Dsg(X−−)=Db(modX−−)/Kb(proj(modX−−)) of the stable category X−− of X. We consider when the singularity category is triangle equivalent to the stable category of Gorenstein projective objects, and when the stable categories of two resolving subcategories have triangle equivalent singularity categories. Applying this to the module category of a Gorenstein ring, we prove that the complete intersections over which the stable categories of resolving subcategories have trivial singularity categories are the simple hypersurface singularities of type (A1). We also generalize several results of Yoshino on totally reflexive modules.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10_identifier_60":{"attribute_name":"URI","attribute_value_mlt":[{"subitem_identifier_type":"DOI","subitem_identifier_uri":"http://doi.org/10.1007/s00209-016-1706-x"},{"subitem_identifier_type":"HDL","subitem_identifier_uri":"http://hdl.handle.net/2237/25977"}]},"item_10_publisher_32":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer","subitem_publisher_language":"en"}]},"item_10_relation_11":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1007/s00209-016-1706-x","subitem_relation_type_select":"DOI"}}]},"item_10_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"The final publication is available at Springer via http://doi.org/10.1007/s00209-016-1706-x","subitem_rights_language":"en"}]},"item_10_select_15":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"author"}]},"item_10_source_id_7":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0025-5874","subitem_source_identifier_type":"PISSN"}]},"item_1615787544753":{"attribute_name":"出版タイプ","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":[{"creatorNames":[{"creatorName":"Matsui, Hiroki","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"70623","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Takahashi, Ryo","creatorNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"70624","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-02-01"}],"displaytype":"detail","filename":"sg18.pdf","filesize":[{"value":"274.3 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"sg18.pdf ファイル公開：2018/02/01","objectType":"fulltext","url":"https://nagoya.repo.nii.ac.jp/record/23805/files/sg18.pdf"},"version_id":"34bab976-7fb1-4c04-917f-7b8643920bd1"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Complete intersection","subitem_subject_scheme":"Other"},{"subitem_subject":"Finitely presented functor","subitem_subject_scheme":"Other"},{"subitem_subject":"Functor category","subitem_subject_scheme":"Other"},{"subitem_subject":"Gorenstein ring","subitem_subject_scheme":"Other"},{"subitem_subject":"Resolving subcategory","subitem_subject_scheme":"Other"},{"subitem_subject":"Simple hypersurface singularity","subitem_subject_scheme":"Other"},{"subitem_subject":"Singular equivalence","subitem_subject_scheme":"Other"},{"subitem_subject":"Singularity category","subitem_subject_scheme":"Other"},{"subitem_subject":"Stable category","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":"Singularity categories and singular equivalences for resolving subcategories","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Singularity categories and singular equivalences for resolving subcategories","subitem_title_language":"en"}]},"item_type_id":"10","owner":"1","path":["699"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2017-04-17"},"publish_date":"2017-04-17","publish_status":"0","recid":"23805","relation_version_is_last":true,"title":["Singularity categories and singular equivalences for resolving subcategories"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-01-16T04:42:57.385891+00:00"}