{"_buckets": {"deposit": "780981af-240b-4c8b-bf5f-a6ee920fec5f"}, "_deposit": {"id": "11963", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "11963"}, "status": "published"}, "_oai": {"id": "oai:soar-ir.repo.nii.ac.jp:00011963", "sets": ["1169:1170"]}, "author_link": ["36666", "36667", "36668", "36669"], "item_1628147817048": {"attribute_name": "\u51fa\u7248\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_ab4af688f83e57aa", "subitem_version_type": "AM"}]}, "item_6_biblio_info_6": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2008-07-10", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "4", "bibliographicPageEnd": "1026", "bibliographicPageStart": "1012", "bibliographicVolumeNumber": "218", "bibliographic_titles": [{"bibliographic_title": "ADVANCES IN MATHEMATICS"}]}]}, "item_6_description_30": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\uff08\u30b3\u30f3\u30c6\u30f3\u30c4\u306e\u7a2e\u985e\uff09", "attribute_value_mlt": [{"subitem_description": "Article", "subitem_description_type": "Other"}]}, "item_6_description_31": {"attribute_name": "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8\uff1amime\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_6_description_5": {"attribute_name": "\u5f15\u7528", "attribute_value_mlt": [{"subitem_description": "ADVANCES IN MATHEMATICS. 218(4): 1012-1026(2008)", "subitem_description_type": "Other"}]}, "item_6_link_67": {"attribute_name": "WoS", "attribute_value_mlt": [{"subitem_link_text": "Web of Science", "subitem_link_url": "http://gateway.isiknowledge.com/gateway/Gateway.cgi?\u0026GWVersion=2\u0026SrcAuth=ShinshuUniv\u0026SrcApp=ShinshuUniv\u0026DestLinkType=FullRecord\u0026DestApp=WOS\u0026KeyUT=000256686100002"}]}, "item_6_publisher_4": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "ACADEMIC PRESS INC ELSEVIER SCIENCE"}]}, "item_6_relation_48": {"attribute_name": "DOI", "attribute_value_mlt": [{"subitem_relation_name": [{"subitem_relation_name_text": "10.1016/j.aim.2008.03.005"}], "subitem_relation_type_id": {"subitem_relation_type_id_text": "https://doi.org/10.1016/j.aim.2008.03.005", "subitem_relation_type_select": "DOI"}}]}, "item_6_select_64": {"attribute_name": "\u8457\u8005\u7248\u30d5\u30e9\u30b0", "attribute_value_mlt": [{"subitem_select_item": "author"}]}, "item_6_source_id_35": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0001-8708", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_39": {"attribute_name": "NII ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "0001-8708", "subitem_source_identifier_type": "ISSN"}]}, "item_6_source_id_40": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "attribute_value_mlt": [{"subitem_source_identifier": "AA00513055", "subitem_source_identifier_type": "NCID"}]}, "item_6_text_69": {"attribute_name": "wosonly authkey", "attribute_value_mlt": [{"subitem_text_value": "approximations; Cohen-Macaulay representation type; covers; Gorenstein dimension; precovers; simple singularity; totally reflexive modules"}]}, "item_6_text_70": {"attribute_name": "wosonly keywords", "attribute_value_mlt": [{"subitem_text_value": "COHEN-MACAULAY MODULES; HYPERSURFACE SINGULARITIES; DIMENSION ZERO; LOCAL-RINGS; CATEGORY"}]}, "item_6_textarea_68": {"attribute_name": "wosonly abstract", "attribute_value_mlt": [{"subitem_textarea_value": "Let R be a commutative noetherian local ring and consider the set of isomorphism classes of indecomposable totally reflexive R-modules. We prove that if this set is finite, then either it has exactly one element, represented by the rank 1 free module, or R is Gorenstein and an isolated singularity (if R is complete, then it is even a simple hypersurface singularity). The crux of our proof is to argue that if the residue field has a totally reflexive cover, then R is Gorenstein or every totally reflexive R-module is free. (c) 2008 Elsevier Inc. All rights reserved."}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Christensen,  LW"}], "nameIdentifiers": [{"nameIdentifier": "36666", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Piepmeyer,  G"}], "nameIdentifiers": [{"nameIdentifier": "36667", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Striuli,  J"}], "nameIdentifiers": [{"nameIdentifier": "36668", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Takahashi,  R"}], "nameIdentifiers": [{"nameIdentifier": "36669", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2015-09-28"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "\u9ad8\u6a4b\u4eaeG-cover.pdf", "filesize": [{"value": "161.5 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 161500.0, "url": {"label": "\u9ad8\u6a4b\u4eaeG-cover.pdf", "url": "https://soar-ir.repo.nii.ac.jp/record/11963/files/\u9ad8\u6a4b\u4eaeG-cover.pdf"}, "version_id": "acce43e8-873d-406c-90a2-919a3399618f"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Finite Gorenstein representation type implies simple singularity", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Finite Gorenstein representation type implies simple singularity", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["1169/1170"], "permalink_uri": "http://hdl.handle.net/10091/1120", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2008-08-06"}, "publish_date": "2008-08-06", "publish_status": "0", "recid": "11963", "relation": {}, "relation_version_is_last": true, "title": ["Finite Gorenstein representation type implies simple singularity"], "weko_shared_id": -1}